Fast Radio Bursts （FRBs） are intense radio flashes from the sky that are characterized by mil- lisecond durations and Jansky-level flux densities. We carried out a statistical analysis on FRBs that have been discove...Fast Radio Bursts （FRBs） are intense radio flashes from the sky that are characterized by mil- lisecond durations and Jansky-level flux densities. We carried out a statistical analysis on FRBs that have been discovered. Their mean dispersion measure, after subtracting the contribution from the interstellar medium of our Galaxy, is found to be ~ 660 pc cm-3, supporting their being from a cosmological origin. Their energy released in the radio band spans about two orders of magnitude, with a mean value of ~ 10-39 erg. More interestingly, although the study of FRBs is still in a very early phase, the published collection of FRBs enables us to derive a useful intensity distribution function. For the 16 non-repeating FRBs detected by the Parkes telescope and the Green Bank Telescope, the intensity distribution can be described as dN/dFobs = （4.1± 1.3） × 103 F-obs1.1±0.2 sky-1 d-l, where Fobs is the observed radio obs fluence in units of Jy ms. Here the power-law index is significantly flatter than the expected value of 2.5 for standard candles distributed homogeneously in a flat Euclidean space. Based on this intensity distribution function, the Five-hundred-meter Aperture Spherical radio Telescope （FAST） is predicted to be able to detect about five FRBs for every 1000 h of observation time.展开更多
Using the Hilbert-Huang transform and the Lomb-Scargle method, we investigate periodicities in the daily solar radius data during the time interval from February 1978 to October 1999 derived from Caleru Observatory. T...Using the Hilbert-Huang transform and the Lomb-Scargle method, we investigate periodicities in the daily solar radius data during the time interval from February 1978 to October 1999 derived from Caleru Observatory. The following prominent periods are found： （1） the rotation cycle signal; （2） several mid-term periods including 122, 162.9 and 225 days, annual-variation periodicities （319 and 359 days）, quasi-triennial oscillations （3.46 and 3.94 years）; （3） the 11-year Schwabe cycle, which is in anti-phase with solar activity. This result indicates that the strong magnetic field associated with the Sun has a greater inhibitive effect on the radius variation.展开更多
The growing observed evidence shows that the long-and short-duration gamma-ray bursts(GRBs) originate from massive star core-collapse and the merger of compact stars,respectively.GRB 201221 D is a short-duration GRB l...The growing observed evidence shows that the long-and short-duration gamma-ray bursts(GRBs) originate from massive star core-collapse and the merger of compact stars,respectively.GRB 201221 D is a short-duration GRB lasting~0.1 s without extended emission at high redshift z=1.046.By analyzing data observed with the Swift/BAT and Fermi/GBM,we find that a cutoff power-law model can adequately fit the spectrum with a soft E=113keV,and isotropic energy E=1.36× 10erg.In order to reveal the possible physical origin of GRB 201221 D,we adopted multi-wavelength criteria(e.g.,Amati relation,ε-parameter,amplitude parameter,local event rate density,luminosity function,and properties of the host galaxy),and find that most of the observations of GRB 201221 D favor a compact star merger origin.Moreover,we find that α is larger than 2+βin the prompt emission phase which suggests that the emission region is possibly undergoing acceleration during the prompt emission phase with a Poynting-flux-dominated jet.展开更多
The afterglow of GRB 081029 showed unusual behavior, with a signifi- cant rebrightening being observed at the optical wavelength at about 3000 s after the burst. One possible explanation is that the rebrightening resu...The afterglow of GRB 081029 showed unusual behavior, with a signifi- cant rebrightening being observed at the optical wavelength at about 3000 s after the burst. One possible explanation is that the rebrightening resulted from an energy in- jection. Here we present a detailed numerical study of the energy injection process and interpret the X-ray and optical afterglow light curves of GRB 081029. In our model, we have assumed two periods of energy injection, each with a constant injec- tion power. One injection starts at 2.8 × 10^3 s and lasts for about 2500 s, with a power of 7.0 × 10^47 erg s-1. This energy injection mainly accounts for the rapid rebrighten- ing at about 3000 s. The other injection starts at 8.0 × 10^3 s and lasts for about 5000 s. The injection power is 3.5 × 10^47 erg s-1. This energy injection can help to explain the slight rebrightening at about 10 000 s. It is shown that the observed optical after- glow, especially the marked rebrightening at about 3000 s, can be reproduced well. In the X-ray band, the predicted amplitude of the rebrightening is much shallower, which is also consistent with the observed X-ray afterglow light curve. It is argued that the two periods of energy injection can be produced by clumpy materials falling onto the central compact object of the burster, which leads to an enhancement of accretion and gives rise to a strong temporary outflow.展开更多
In the archive of the Ground Wide Angle Camera(GWAC),we found 43 white light flares from 43 stars,among which,three are sympathetic or homologous flares,and one of them also has a quasi-periodic pulsation with a perio...In the archive of the Ground Wide Angle Camera(GWAC),we found 43 white light flares from 43 stars,among which,three are sympathetic or homologous flares,and one of them also has a quasi-periodic pulsation with a period of 13.0±1.5 minutes.Among these 43 flare stars,there are 19 new active stars and 41 stars that have available TESS and/or K2 light curves,from which we found 931 stellar flares.We also obtained rotational or orbital periods of 34 GWAC flare stars,of which 33 are less than 5.4 days,and ephemerides of three eclipsing binaries from these light curves.Combining with low resolution spectra from LAMOST and the Xinglong 2.16 m telescope,we found that L_(Hα)/L_(bol) are in the saturation region in the rotation-activity diagram.From the LAMOST medium-resolution spectrum,we found that Star#3(HAT 178-02667)has double Hαemissions which imply it is a binary,and two components are both active stars.Thirteen stars have flare frequency distributions(FFDs)from TESS and/or K2 light curves.These FFDs show that the flares detected by GWAC can occur at a frequency of 0.5to 9.5 yr^(-1).The impact of flares on habitable planets was also studied based on these FFDs,and flares from some GWAC flare stars may produce enough energetic flares to destroy ozone layers,but none can trigger prebiotic chemistry on their habitable planets.展开更多
Synchrotron emission polarization is very sensitive to the magnetic field configuration.Recently,polarization of synchrotron emission with a mixed(SM)magnetic field in the gamma-ray burst(GRB)afterglow phase has been ...Synchrotron emission polarization is very sensitive to the magnetic field configuration.Recently,polarization of synchrotron emission with a mixed(SM)magnetic field in the gamma-ray burst(GRB)afterglow phase has been developed.Here,we apply these SM models to the GRB prompt phase and compare their polarization properties with that of synchrotron emission in purely ordered(SO)magnetic field.We find that the polarization properties in an SM model are very similar to these in a corresponding SO model(e.g.,synchrotron emission in a mixed magnetic field with an aligned ordered part(SMA)and synchrotron emission with a purely ordered aligned magnetic field(SOA)),only with a lower polarization degree(PD).We also discuss the statistical properties of the models.We find PDs of the simulated bursts are concentrated around 25%for both SOA and synchrotron emission in a purely ordered toroidal magnetic field(SOT),while they can range from 0%to 25%for SMA and synchrotron emission in a mixed magnetic field with a toroidal ordered part(SMT),depending onξ_B value,i.e.,the ratio of magnetic reduction of the ordered magnetic field over that of random magnetic field.From statistics,if PDs of majority GRBs are non-zero,then it favors SO and SM models.Further,if there are some bright GRBs with prominently lower PDs than that of the majority GRBs,it favors SOT(SMT)models;if all the bright GRBs have comparable PDs with the majority ones,it favors SOA(SMA)models.Finally,we apply our results to POLAR’s data and find that~10%time-integrated PDs of the observed bursts favor SMA and SMT models,and theξ_B parameter of these bursts is constrained to be around 1.135.展开更多
Binary neutron star(NS)mergers may result in remnants of supra-massive or even stable NS,which have been supported indirectly by observed X-ray plateau of some gamma-ray burst(GRB)afterglows.Recently,Xue et al.(2019)d...Binary neutron star(NS)mergers may result in remnants of supra-massive or even stable NS,which have been supported indirectly by observed X-ray plateau of some gamma-ray burst(GRB)afterglows.Recently,Xue et al.(2019)discovered an X-ray transient CDF-S XT2 that is powered by a magnetar from merger of double NS via X-ray plateau and following stepper phase.However,the decay slope after the plateau emission is slightly larger than the theoretical value of spin-down in electromagnetic(EM)dominated by losing its rotation energy.In this paper,we assume that the feature of X-ray emission is caused by a supra-massive magnetar central engine for surviving thousands of seconds to collapse into a black hole.Within this scenario,we present the comparisons of the X-ray plateau luminosity,break time,and the parameters of magnetar between CDF-S XT2 and other short GRBs with internal plateau samples.By adopting the collapse time to constrain the equation of state(EOS),we find that three EOSs(GM1,DD2,and DDME2)are consistent with the observational data.On the other hand,if the most released rotation energy of magnetar is dominated by GW radiation,we also constrain the upper limit of ellipticity of NS for given EOS,and its range is[0.32-1.3]×10^(-3).Its GW signal cannot be detected by Advanced LIGO or even for more sensitive Einstein Telescope in the future.展开更多
We present Caltech Submillimeter Observatory CO （2-1） and Spitzer IRAC observations toward IRAS 22506＋5944, which is a 104 Lo massive star-forming region. The CO （2-1） maps show an east-west bipolar molecular out...We present Caltech Submillimeter Observatory CO （2-1） and Spitzer IRAC observations toward IRAS 22506＋5944, which is a 104 Lo massive star-forming region. The CO （2-1） maps show an east-west bipolar molecular outflow originating from the 3 mm dust continuum peak. The Spitzer IRAC color-composite image reveals a pair of bow-shaped tips which are prominent in excess 4.5 p.m emission and are located at the leading fronts of the bipolar outflow, providing compelling evidence for the existence of bow-shocks as the driving agents of the molecular outflow. By comparing our CO （2- 1） observations with previously published CO （1-0） data, we find that the CO （2-1）/（1-0） line ratio increases from low （-5 km s- 1） to moderate （- 8-12 km s- 1） velocities, and then decreases at higher velocities. This is qualitatively consistent with the scenario that the molecular outflow is driven by multiple bow-shocks. We also revisit the position-velocity diagram of the CO （1-0） data, and find two spur structures along the outflow axis, which are further evidence for the presence of multiple jet bow- shocks. Finally, power-law fittings to the mass spectrum of the outflow gives power law indexes more consistent with the jet bow-shock model than the wide-angle wind model.展开更多
We examine the solar cycle distribution of major geomagnetic storms （Dst ≤ -100 nT）, including intense storms at the level of -200 nT〈 Dst ≤ -100 nT, great storms at -300 nT〈 Dst ≤-200 nT, and super storms at D...We examine the solar cycle distribution of major geomagnetic storms （Dst ≤ -100 nT）, including intense storms at the level of -200 nT〈 Dst ≤ -100 nT, great storms at -300 nT〈 Dst ≤-200 nT, and super storms at Dst ≤ -300 nT, which occurred during the period of 1957-2006, based on Dst indices and smoothed monthly sunspot numbers. Statistics show that the majority （82%） of the geomagnetic storms at the level of Dst≤ -100 nT that occurred in the study pe- riod were intense geomagnetic storms, with 12.4% ranked as great storms and 5.6% as super storms. It is interesting to note that about 27% of the geomagnetic storms that occurred at all three intensity levels appeared in the ascending phase of a solar cycle, and about 73% in the descending one. Statistics also show that 76.9% of the intense storms, 79.6% of the great storms and 90.9% of the super storms occurred during the two years before a solar cycle reached its peak, or in the three years after it. The correlation between the size of a solar cycle and the percentage of major storms that occurred, during the period from two years prior to maximum to three years af- ter it, is investigated. Finally, the properties of the multi-peak distribution for major geomagnetic storms in each solar cycle is investigated.展开更多
Fast radio bursts(FRBs) are bright radio pulses from the sky with millisecond durations and Jansky-level flux densities. Their origins are still largely uncertain. Here we suggest a new model for FRBs. We argue that t...Fast radio bursts(FRBs) are bright radio pulses from the sky with millisecond durations and Jansky-level flux densities. Their origins are still largely uncertain. Here we suggest a new model for FRBs. We argue that the collision of a white dwarf with a black hole can generate a transient accretion disk, from which powerful episodic magnetic blobs will be launched. The collision between two consecutive magnetic blobs can result in a catastrophic magnetic reconnection, which releases a large amount of free magnetic energy and forms a forward shock. The shock propagates through the cold magnetized plasma within the blob in the collision region, radiating through the synchrotron maser mechanism,which is responsible for a non-repeating FRB signal. Our calculations show that the theoretical energetics, radiation frequency, duration timescale and event rate can be very consistent with the observational characteristics of FRBs.展开更多
Supernovae(SNe) are the most brilliant optical stellar-class explosions. Over the past two decades, several optical transient survey projects discovered more than-100 so-called superluminous supernovae(SLSNe) whose pe...Supernovae(SNe) are the most brilliant optical stellar-class explosions. Over the past two decades, several optical transient survey projects discovered more than-100 so-called superluminous supernovae(SLSNe) whose peak luminosities and radiated energy are ■ 7 × 10^(43) erg s^(-1) and > 10^(51) erg respectively, at least an order of magnitude larger than those of normal SNe. According to their optical spectra features, SLSNe have been split into two broad categories of type Ⅰ that are hydrogen-deficient and type Ⅱ that are hydrogen-rich. Investigating and determining the energy sources of SLSNe would be of outstanding importance for understanding their stellar evolution and explosion mechanisms. The energy sources of SLSNe can be determined by analyzing their light curves(LCs) and spectra. The most prevailing models accounting for the SLSN LCs are the ^(56)Ni cascade decay model, the magnetar spin-down model,the ejecta-circumstellar medium interaction model and the jet-ejecta interaction model. In this review, we present several energy-source models and their different combinations.展开更多
Type Ia Supernovae(SNe Ia)are widely used as standard candles to probe the Universe.However,how these fierce explosions are produced itself is still a highly debated issue.There are mainly two popular models for SNe I...Type Ia Supernovae(SNe Ia)are widely used as standard candles to probe the Universe.However,how these fierce explosions are produced itself is still a highly debated issue.There are mainly two popular models for SNe Ia:the double-degenerate scenario and the single-degenerate scenario.The doubledegenerate scenario suggests that SNe Ia are produced by the coalescence of two degenerate white dwarfs,while the single-degenerate scenario suggests that the continuous accretion of a single degenerate white dwarf from its normal stellar companion will finally lead to a disastrous explosion when it is over-massive,resulting in an SN Ia.The rapid development of the gravitational wave astronomy sheds new light on the nature of SNe Ia.In this study,we calculate the gravitational wave emissions of double white dwarf coalescences and compare them with the sensitivities of several upcoming detectors.It is found that the gravitational wave emissions from double white dwarf mergers in the local universe are strong enough to be detected by LISA.We argue that LISA-like gravitational wave detectors sensitive in the frequency range of 0.01—0.1 Hz will be a powerful tool to test the double-degenerate model of SNe Ia,and also to probe the Universe.展开更多
Ellerman bombs （EBs） are small brightening events in the solar lower atmosphere. By their original definition, the main characteristic of EBs is the two emission bumps in both wings of chro- mospheric lines, such a...Ellerman bombs （EBs） are small brightening events in the solar lower atmosphere. By their original definition, the main characteristic of EBs is the two emission bumps in both wings of chro- mospheric lines, such as Hα and Ca II 8542A lines. Up to now, most authors have found that the temperature increase of EBs around the temperature minimum region is in the range of 600-3000 K. However, with recent IRIS observations, some authors proposed that the temperature increase of EBs could be more than 10 000 K. Using non-LTE semi-empirical modeling, we investigate the line profiles, continuum emission and radiative losses for EB models with different temperature increases, and com- pare them with observations. Our result indicates that if the EB maximum temperature reaches more than 10000K around the temperature minimum region, then the resulting Hα and Call 8542A line profiles and the continuum emission would be much stronger than those of EB observations. Moreover, due to the high radiative losses, a high temperature EB compatible with observations. Thus, our study does not higher than 10 000 K. would have a very short lifetime, which is not support the proposal that EB temperatures are higher than 10 000 K.展开更多
Ellerman bombs （EBs） are tiny brightenings often observed near sunspots. The most impressive characteristic of EB spectra is the two emission bumps in both wings of the Hα and Ca II 8542 A lines. High-resolution sp...Ellerman bombs （EBs） are tiny brightenings often observed near sunspots. The most impressive characteristic of EB spectra is the two emission bumps in both wings of the Hα and Ca II 8542 A lines. High-resolution spectral data of three small EBs were obtained on 2013 June 6 with the largest solar telescope, the 1.6 m New Solar Telescope at the Big Bear Solar Observatory. The characteristics of these EBs are analyzed. The sizes of the EBs are in the range of 0.3＂ - 0.8＂ and their durations are only 3-5 min. Our semi-empirical atmospheric models indicate that the heating occurs around the temperature minimum region with a temperature increase of 2700- 3000 K, which is surprisingly higher than previously thought. The radiative and kinetic energies are estimated to be as high as 5 × 1025 - 3.0 × 10^26 erg despite the small size of these EBs. Observations of the magnetic field show that the EBs just appeared in a parasitic region with mixed polarities and were accompanied by mass motions. Nonlinear force-free field extrapolation reveals that the three EBs are connected with a series of magnetic field lines associated with bald patches, which strongly implies that these EBs should be produced by magnetic reconnection in the solar lower atmosphere. According to the lightcurves and the estimated magnetic reconnection rate, we propose that there is a three phase process in EBs： pre-heating, flaring and cooling phases.展开更多
Mass distribution of black holes in low-mass X-ray binaries previously suggested the existence of a ~2–5 M⊙mass gap between the most massive neutron stars and the least massive black holes, while some recent evidenc...Mass distribution of black holes in low-mass X-ray binaries previously suggested the existence of a ~2–5 M⊙mass gap between the most massive neutron stars and the least massive black holes, while some recent evidence appears to support that this mass gap is being populated. Whether there is a mass gap or not can potentially shed light on the physics of supernova explosions that form neutron stars and black holes, although significant mass accretion of neutron stars including binary mergers may lead to the formation of mass-gap objects. In this review, I collect the compact objects that are probable black holes with masses being in the gap. Most of them are in binaries, their mass measurements are obviously subject to some uncertainties. Current observations are still unable to confidently infer an absence or presence of the mass gap. Ongoing and future surveys are expected to build the mass spectrum of black holes which can be used to constrain the process of their formation especially in binaries. I describe the theoretical predictions for the formation of black holes in various types of binaries, and present some prospects of searching for black holes via electromagnetic and gravitational wave observations.展开更多
We revisit the mass–size relation of molecular cloud structures based on the column density map of the Cygnus-X molecular cloud complex.We extract 135 column density peaks in Cygnus-X and analyze the column density d...We revisit the mass–size relation of molecular cloud structures based on the column density map of the Cygnus-X molecular cloud complex.We extract 135 column density peaks in Cygnus-X and analyze the column density distributions around these peaks.The averaged column density profiles,N(R),around all the peaks can be well fitted with broken power-laws,which are described by an inner power-law index n,outer power-law index m,and the radius RTP and column density NTP at the transition point.We then explore the M–R relation with different samples of cloud structures by varying the N(R)parameters and the column density threshold,N0,which determines the boundary of a cloud structure.We find that only when N0 has a wide range of values,the M–R relation may largely probe the density distribution,and the fitted power-law index of the M–R relation is related to the power-law index of N(R).On the contrary,with a constant N0,the M–R relation has no direct connection with the density distribution;in this case,the fitted power-law index of the M–R relation is equal to 2(when N_(0)≥N_(TP) and n has a narrow range of values),larger than 2(when N_(0)≥N_(TP) and n has a wide range of values),or slightly less than 2(when N_(0)<N_(TP)).展开更多
We crossmatch galaxies from Mapping Nearby Galaxies at Apache Point Observatory with the Open Supernova Catalog,obtaining a total of 132 SNe within MaNGA bundle.These 132 SNe can be classified into 67 Type Ia and 65 T...We crossmatch galaxies from Mapping Nearby Galaxies at Apache Point Observatory with the Open Supernova Catalog,obtaining a total of 132 SNe within MaNGA bundle.These 132 SNe can be classified into 67 Type Ia and 65 Type CC.We study the global and local properties of supernova host galaxies statistically.Type Ia SNe are distributed in both star-forming galaxies and quiescent galaxies,while Type CC SNe are all distributed along the star-forming main sequence.As the stellar mass increases,the Type Ia/CC number ratio increases.We find:(1)there is no obvious difference in the interaction possibilities and environments between Type Ia SN hosts and a control sample of galaxies with similar stellar mass and SFR distributions,except that Type Ia SNe tend to appear in galaxies which are more bulge-dominated than their controls.For Type CC SNe,there is no difference between their hosts and the control galaxies in galaxy morphology,interaction possibilities as well as environments;(2)compared to galaxy centers,the SN locations have smaller velocity dispersion,lower metallicity,and younger stellar population.This is a natural result of radius gradients for all these parameters.The SN location and its symmetrical position relative to the galaxy center,as well as regions with similar effective radii have very similar[Mg/Fe],gasphase metallicity,gas velocity dispersion and stellar population age.展开更多
We present a large-scale simultaneous survey of the CO isotopologues(^(12)CO,^(13)CO,and C^(18)O)J=1-0 line emission toward the Galactic plane region of l=106°.65 to 109°.50 and b=-1°.85 to 0°.95 u...We present a large-scale simultaneous survey of the CO isotopologues(^(12)CO,^(13)CO,and C^(18)O)J=1-0 line emission toward the Galactic plane region of l=106°.65 to 109°.50 and b=-1°.85 to 0°.95 using the Purple Mountain Observatory 13.7 m millimeter-wavelength telescope.Except for the molecular gas in the solar neighborhood,the emission from the molecular gas in this region is concentrated in the velocity range of[-60,-35]km s^(-1).The gas in the region can be divided into four clouds,with mass in the range of~10^(3)-10^(4)M☉.We have identified 25 filaments based on the^(13)CO data.The median excitation temperature,length,line mass,line width,and virial parameter of the filaments are 10.89 K,8.49 pc,146.11 M☉pc^(-1),1.01 km s^(-1),and 3.14,respectively.Among these filaments,eight have virial parameters of less than 2,suggesting that they are gravitationally bound and can lead to star formation.Nineteen HⅡregions or candidates have previously been found in the region and we investigate the relationships between these HⅡregions/candidates and surrounding molecular clouds in detail.Using morphology similarity and radial velocity consistency between HⅡregions/candidates and molecular clouds as evidence for association,and raised temperature and velocity broadening as signatures of interaction,we propose that 12 HⅡregions/candidates are associated with their surrounding molecular clouds.In the case of the HⅡregion of S142,the energy of the HⅡregion is sufficient to maintain the turbulence in the surrounding molecular gas.展开更多
A negative correlation was found to exist between the low-energy spectral index and the redshift of gamma-ray bursts(GRBs)by Amati et al.It was later confirmed by Geng&Huang and Gruber et al.,but the correlation w...A negative correlation was found to exist between the low-energy spectral index and the redshift of gamma-ray bursts(GRBs)by Amati et al.It was later confirmed by Geng&Huang and Gruber et al.,but the correlation was also found to be quite dispersive when the sample size was significantly expanded.In this study,we have established two even larger samples of GRBs to further examine the correlation.One of our samples consists of316 GRBs detected by the Swift satellite,and the other one consists of 80 GRBs detected by the Fermi satellite.It is found that there is no correlation between the two parameters for the Swift sample,but there does exist a weak negative correlation for the Fermi sample.The correlation becomes even more significant when the spectral index at the peak flux is considered.It is argued that the absence of the correlation in the Swift sample may be due to the fact that Swift has a very narrow energy response so that it could not measure the low-energy spectral index accurately enough.Further studies based on even larger GRB samples are solicited.展开更多
基金supported by the National Basic Research Program of China(973 program,Grant Nos.2014CB845800 and 2012CB821802)the National Natural Science Foundation of China(Grant Nos.11473012,U1431126 and 11263002)+1 种基金the Strategic Priority Research Program(Grant Nos.XDB09010302 and XDB23000000)the support from the CAS Interdisciplinary Innovation Team and the CAS Key International Collaboration Program
文摘Fast Radio Bursts （FRBs） are intense radio flashes from the sky that are characterized by mil- lisecond durations and Jansky-level flux densities. We carried out a statistical analysis on FRBs that have been discovered. Their mean dispersion measure, after subtracting the contribution from the interstellar medium of our Galaxy, is found to be ~ 660 pc cm-3, supporting their being from a cosmological origin. Their energy released in the radio band spans about two orders of magnitude, with a mean value of ~ 10-39 erg. More interestingly, although the study of FRBs is still in a very early phase, the published collection of FRBs enables us to derive a useful intensity distribution function. For the 16 non-repeating FRBs detected by the Parkes telescope and the Green Bank Telescope, the intensity distribution can be described as dN/dFobs = （4.1± 1.3） × 103 F-obs1.1±0.2 sky-1 d-l, where Fobs is the observed radio obs fluence in units of Jy ms. Here the power-law index is significantly flatter than the expected value of 2.5 for standard candles distributed homogeneously in a flat Euclidean space. Based on this intensity distribution function, the Five-hundred-meter Aperture Spherical radio Telescope （FAST） is predicted to be able to detect about five FRBs for every 1000 h of observation time.
基金Supported by the National Natural Science Foundation of China
文摘Using the Hilbert-Huang transform and the Lomb-Scargle method, we investigate periodicities in the daily solar radius data during the time interval from February 1978 to October 1999 derived from Caleru Observatory. The following prominent periods are found： （1） the rotation cycle signal; （2） several mid-term periods including 122, 162.9 and 225 days, annual-variation periodicities （319 and 359 days）, quasi-triennial oscillations （3.46 and 3.94 years）; （3） the 11-year Schwabe cycle, which is in anti-phase with solar activity. This result indicates that the strong magnetic field associated with the Sun has a greater inhibitive effect on the radius variation.
基金supported by the National Natural Science Foundation of China (grant Nos. 11922301 and 12133003)the Guangxi Science Foundation (grant Nos. 2017GXNSFFA198008 and AD17129006)+6 种基金support by the Program of Bagui Young Scholars Program, and special funding for Guangxi distinguished professors (Bagui Yingcai & Bagui Xuezhe)support by the National Key Research and Development Programs of China (2018YFA0404204)the National Natural Science Foundation of China (grant Nos. 11833003 and U2038105)the Program for Innovative Talents, Entrepreneur in Jiangsusupport by the Strategic Priority Research Program of the Chinese Academy of Sciences (grant Nos. XDA15310300, XDA15052100 and XDB23040000)support by the National Natural Science Foundation of China (grant Nos. 12041306 and 12103089)the Natural Science Foundation of Jiangsu Province (grant No. BK20211000)。
文摘The growing observed evidence shows that the long-and short-duration gamma-ray bursts(GRBs) originate from massive star core-collapse and the merger of compact stars,respectively.GRB 201221 D is a short-duration GRB lasting~0.1 s without extended emission at high redshift z=1.046.By analyzing data observed with the Swift/BAT and Fermi/GBM,we find that a cutoff power-law model can adequately fit the spectrum with a soft E=113keV,and isotropic energy E=1.36× 10erg.In order to reveal the possible physical origin of GRB 201221 D,we adopted multi-wavelength criteria(e.g.,Amati relation,ε-parameter,amplitude parameter,local event rate density,luminosity function,and properties of the host galaxy),and find that most of the observations of GRB 201221 D favor a compact star merger origin.Moreover,we find that α is larger than 2+βin the prompt emission phase which suggests that the emission region is possibly undergoing acceleration during the prompt emission phase with a Poynting-flux-dominated jet.
基金supported by the National Natural Science Foundation of China(Grant Nos. 11033002 and J1210039)the National Basic Research Program of China (973 Program, Grant No. 2009CB824800)
文摘The afterglow of GRB 081029 showed unusual behavior, with a signifi- cant rebrightening being observed at the optical wavelength at about 3000 s after the burst. One possible explanation is that the rebrightening resulted from an energy in- jection. Here we present a detailed numerical study of the energy injection process and interpret the X-ray and optical afterglow light curves of GRB 081029. In our model, we have assumed two periods of energy injection, each with a constant injec- tion power. One injection starts at 2.8 × 10^3 s and lasts for about 2500 s, with a power of 7.0 × 10^47 erg s-1. This energy injection mainly accounts for the rapid rebrighten- ing at about 3000 s. The other injection starts at 8.0 × 10^3 s and lasts for about 5000 s. The injection power is 3.5 × 10^47 erg s-1. This energy injection can help to explain the slight rebrightening at about 10 000 s. It is shown that the observed optical after- glow, especially the marked rebrightening at about 3000 s, can be reproduced well. In the X-ray band, the predicted amplitude of the rebrightening is much shallower, which is also consistent with the observed X-ray afterglow light curve. It is argued that the two periods of energy injection can be produced by clumpy materials falling onto the central compact object of the burster, which leads to an enhancement of accretion and gives rise to a strong temporary outflow.
基金supported by the National Natural Science Foundation of China(NSFC)with grant No.12073038supported by the Joint Research Fund in Astronomy U1931133 under cooperative agreement between the National Natural Science Foundation of China(NSFC)and Chinese Academy of Sciences(CAS)+1 种基金the NSFC with grant No.61941121the Beijing Natural Science Foundation,No.1222029。
文摘In the archive of the Ground Wide Angle Camera(GWAC),we found 43 white light flares from 43 stars,among which,three are sympathetic or homologous flares,and one of them also has a quasi-periodic pulsation with a period of 13.0±1.5 minutes.Among these 43 flare stars,there are 19 new active stars and 41 stars that have available TESS and/or K2 light curves,from which we found 931 stellar flares.We also obtained rotational or orbital periods of 34 GWAC flare stars,of which 33 are less than 5.4 days,and ephemerides of three eclipsing binaries from these light curves.Combining with low resolution spectra from LAMOST and the Xinglong 2.16 m telescope,we found that L_(Hα)/L_(bol) are in the saturation region in the rotation-activity diagram.From the LAMOST medium-resolution spectrum,we found that Star#3(HAT 178-02667)has double Hαemissions which imply it is a binary,and two components are both active stars.Thirteen stars have flare frequency distributions(FFDs)from TESS and/or K2 light curves.These FFDs show that the flares detected by GWAC can occur at a frequency of 0.5to 9.5 yr^(-1).The impact of flares on habitable planets was also studied based on these FFDs,and flares from some GWAC flare stars may produce enough energetic flares to destroy ozone layers,but none can trigger prebiotic chemistry on their habitable planets.
基金supported by the National Key Research and Development Program of China(Grant No.2017YFA0402600)the National Natural Science Foundation of China(NSFC)(Grant Nos.11573014,11673068,11725314,11833003 and 11903014)+6 种基金partially supported by the Key Research Program of Frontier Sciences(QYZDB-SSW-SYS005)the Strategic Priority Research Program“Multi-waveband gravitational wave Universe”(Grant No.XDB23040000)of the Chinese Academy of Sciencesthe“333 Project”of Jiangsu provincesupported by the Natural Science Foundation of Jiangsu Province(Grant No.BK 20171109)the Fundamental Research Funds for the Central Universitiesin part by NSFC(Grant No.11847310)the Seeds Funding of Jilin University。
文摘Synchrotron emission polarization is very sensitive to the magnetic field configuration.Recently,polarization of synchrotron emission with a mixed(SM)magnetic field in the gamma-ray burst(GRB)afterglow phase has been developed.Here,we apply these SM models to the GRB prompt phase and compare their polarization properties with that of synchrotron emission in purely ordered(SO)magnetic field.We find that the polarization properties in an SM model are very similar to these in a corresponding SO model(e.g.,synchrotron emission in a mixed magnetic field with an aligned ordered part(SMA)and synchrotron emission with a purely ordered aligned magnetic field(SOA)),only with a lower polarization degree(PD).We also discuss the statistical properties of the models.We find PDs of the simulated bursts are concentrated around 25%for both SOA and synchrotron emission in a purely ordered toroidal magnetic field(SOT),while they can range from 0%to 25%for SMA and synchrotron emission in a mixed magnetic field with a toroidal ordered part(SMT),depending onξ_B value,i.e.,the ratio of magnetic reduction of the ordered magnetic field over that of random magnetic field.From statistics,if PDs of majority GRBs are non-zero,then it favors SO and SM models.Further,if there are some bright GRBs with prominently lower PDs than that of the majority GRBs,it favors SOT(SMT)models;if all the bright GRBs have comparable PDs with the majority ones,it favors SOA(SMA)models.Finally,we apply our results to POLAR’s data and find that~10%time-integrated PDs of the observed bursts favor SMA and SMT models,and theξ_B parameter of these bursts is constrained to be around 1.135.
基金supported by the National Natural Science Foundation of China(Grant Nos.11922301,11851304,11533003 and 11833003)the Guangxi Science Foundation(2017GXNSFFA198008,2018GXNSFGA281007 and AD17129006)+2 种基金support from a national program for young scholars in ChinaProgram for Innovative Talents and Entrepreneur in Jiangsuthe National Key Research and Development Program of China(2018YFA0404204)。
文摘Binary neutron star(NS)mergers may result in remnants of supra-massive or even stable NS,which have been supported indirectly by observed X-ray plateau of some gamma-ray burst(GRB)afterglows.Recently,Xue et al.(2019)discovered an X-ray transient CDF-S XT2 that is powered by a magnetar from merger of double NS via X-ray plateau and following stepper phase.However,the decay slope after the plateau emission is slightly larger than the theoretical value of spin-down in electromagnetic(EM)dominated by losing its rotation energy.In this paper,we assume that the feature of X-ray emission is caused by a supra-massive magnetar central engine for surviving thousands of seconds to collapse into a black hole.Within this scenario,we present the comparisons of the X-ray plateau luminosity,break time,and the parameters of magnetar between CDF-S XT2 and other short GRBs with internal plateau samples.By adopting the collapse time to constrain the equation of state(EOS),we find that three EOSs(GM1,DD2,and DDME2)are consistent with the observational data.On the other hand,if the most released rotation energy of magnetar is dominated by GW radiation,we also constrain the upper limit of ellipticity of NS for given EOS,and its range is[0.32-1.3]×10^(-3).Its GW signal cannot be detected by Advanced LIGO or even for more sensitive Einstein Telescope in the future.
基金the National Natural Science Foundation of China(Grant Nos.11473011 and 11590781)
文摘We present Caltech Submillimeter Observatory CO （2-1） and Spitzer IRAC observations toward IRAS 22506＋5944, which is a 104 Lo massive star-forming region. The CO （2-1） maps show an east-west bipolar molecular outflow originating from the 3 mm dust continuum peak. The Spitzer IRAC color-composite image reveals a pair of bow-shaped tips which are prominent in excess 4.5 p.m emission and are located at the leading fronts of the bipolar outflow, providing compelling evidence for the existence of bow-shocks as the driving agents of the molecular outflow. By comparing our CO （2- 1） observations with previously published CO （1-0） data, we find that the CO （2-1）/（1-0） line ratio increases from low （-5 km s- 1） to moderate （- 8-12 km s- 1） velocities, and then decreases at higher velocities. This is qualitatively consistent with the scenario that the molecular outflow is driven by multiple bow-shocks. We also revisit the position-velocity diagram of the CO （1-0） data, and find two spur structures along the outflow axis, which are further evidence for the presence of multiple jet bow- shocks. Finally, power-law fittings to the mass spectrum of the outflow gives power law indexes more consistent with the jet bow-shock model than the wide-angle wind model.
基金supported by the National Basic Research Program of China (973 Program, Grant Nos. 2012CB957801 and 2011CB811406)the National Natural Science Foundation of China (Grant Nos. 41074132, 41274193 and 40931056)the National Standard Research Program (Grant No. 10-123)
文摘We examine the solar cycle distribution of major geomagnetic storms （Dst ≤ -100 nT）, including intense storms at the level of -200 nT〈 Dst ≤ -100 nT, great storms at -300 nT〈 Dst ≤-200 nT, and super storms at Dst ≤ -300 nT, which occurred during the period of 1957-2006, based on Dst indices and smoothed monthly sunspot numbers. Statistics show that the majority （82%） of the geomagnetic storms at the level of Dst≤ -100 nT that occurred in the study pe- riod were intense geomagnetic storms, with 12.4% ranked as great storms and 5.6% as super storms. It is interesting to note that about 27% of the geomagnetic storms that occurred at all three intensity levels appeared in the ascending phase of a solar cycle, and about 73% in the descending one. Statistics also show that 76.9% of the intense storms, 79.6% of the great storms and 90.9% of the super storms occurred during the two years before a solar cycle reached its peak, or in the three years after it. The correlation between the size of a solar cycle and the percentage of major storms that occurred, during the period from two years prior to maximum to three years af- ter it, is investigated. Finally, the properties of the multi-peak distribution for major geomagnetic storms in each solar cycle is investigated.
基金jointly supported by the National Natural Science Foundation of China (Grant No. 11473012)the National Basic Research Program of China (973 program, 2014CB845800)+2 种基金the National Postdoctoral Program for Innovative Talents (BX201700115)the China Postdoctoral Science Foundation funded project (2017M620199)the Strategic Priority Research Program of the Chinese Academy of Sciences "Multi-waveband Gravitational Wave Universe" (XDB23040000)
文摘Fast radio bursts(FRBs) are bright radio pulses from the sky with millisecond durations and Jansky-level flux densities. Their origins are still largely uncertain. Here we suggest a new model for FRBs. We argue that the collision of a white dwarf with a black hole can generate a transient accretion disk, from which powerful episodic magnetic blobs will be launched. The collision between two consecutive magnetic blobs can result in a catastrophic magnetic reconnection, which releases a large amount of free magnetic energy and forms a forward shock. The shock propagates through the cold magnetized plasma within the blob in the collision region, radiating through the synchrotron maser mechanism,which is responsible for a non-repeating FRB signal. Our calculations show that the theoretical energetics, radiation frequency, duration timescale and event rate can be very consistent with the observational characteristics of FRBs.
基金supported by the National Key Research and Development Program of China (Grant No. 2017YFA0402600)the National Natural Science Foundation of China (Grant Nos. 11573014 and 11833003)
文摘Supernovae(SNe) are the most brilliant optical stellar-class explosions. Over the past two decades, several optical transient survey projects discovered more than-100 so-called superluminous supernovae(SLSNe) whose peak luminosities and radiated energy are ■ 7 × 10^(43) erg s^(-1) and > 10^(51) erg respectively, at least an order of magnitude larger than those of normal SNe. According to their optical spectra features, SLSNe have been split into two broad categories of type Ⅰ that are hydrogen-deficient and type Ⅱ that are hydrogen-rich. Investigating and determining the energy sources of SLSNe would be of outstanding importance for understanding their stellar evolution and explosion mechanisms. The energy sources of SLSNe can be determined by analyzing their light curves(LCs) and spectra. The most prevailing models accounting for the SLSN LCs are the ^(56)Ni cascade decay model, the magnetar spin-down model,the ejecta-circumstellar medium interaction model and the jet-ejecta interaction model. In this review, we present several energy-source models and their different combinations.
基金the National Natural Science Foundation of China(Grant Nos.11873030 and U1938201)by the Strategic Priority Research Program of the Chinese Academy of Sciences(“multi-waveband Gravitational Wave Universe”,Grant No.XDB23040000)。
文摘Type Ia Supernovae(SNe Ia)are widely used as standard candles to probe the Universe.However,how these fierce explosions are produced itself is still a highly debated issue.There are mainly two popular models for SNe Ia:the double-degenerate scenario and the single-degenerate scenario.The doubledegenerate scenario suggests that SNe Ia are produced by the coalescence of two degenerate white dwarfs,while the single-degenerate scenario suggests that the continuous accretion of a single degenerate white dwarf from its normal stellar companion will finally lead to a disastrous explosion when it is over-massive,resulting in an SN Ia.The rapid development of the gravitational wave astronomy sheds new light on the nature of SNe Ia.In this study,we calculate the gravitational wave emissions of double white dwarf coalescences and compare them with the sensitivities of several upcoming detectors.It is found that the gravitational wave emissions from double white dwarf mergers in the local universe are strong enough to be detected by LISA.We argue that LISA-like gravitational wave detectors sensitive in the frequency range of 0.01—0.1 Hz will be a powerful tool to test the double-degenerate model of SNe Ia,and also to probe the Universe.
基金supported by the National Natural Science Foundation of China(NSFC,Grant Nos.11533005,11025314,13001003,11203014 and 11103075)NKBRSF(Grant 2014CB744203)
文摘Ellerman bombs （EBs） are small brightening events in the solar lower atmosphere. By their original definition, the main characteristic of EBs is the two emission bumps in both wings of chro- mospheric lines, such as Hα and Ca II 8542A lines. Up to now, most authors have found that the temperature increase of EBs around the temperature minimum region is in the range of 600-3000 K. However, with recent IRIS observations, some authors proposed that the temperature increase of EBs could be more than 10 000 K. Using non-LTE semi-empirical modeling, we investigate the line profiles, continuum emission and radiative losses for EB models with different temperature increases, and com- pare them with observations. Our result indicates that if the EB maximum temperature reaches more than 10000K around the temperature minimum region, then the resulting Hα and Call 8542A line profiles and the continuum emission would be much stronger than those of EB observations. Moreover, due to the high radiative losses, a high temperature EB compatible with observations. Thus, our study does not higher than 10 000 K. would have a very short lifetime, which is not support the proposal that EB temperatures are higher than 10 000 K.
基金supported by the National Natural Science Foundation of China (NSFC, Grants 10878002, 10933003, 11025314, 10673004, 11203014 and 11103075)NKBRSF (Grant Nos. 2011CB811402 and 2014CB744203)+1 种基金the support of the US NSF (AGS0847126 and AGS-1250818)NASA (NNX13AG14G)
文摘Ellerman bombs （EBs） are tiny brightenings often observed near sunspots. The most impressive characteristic of EB spectra is the two emission bumps in both wings of the Hα and Ca II 8542 A lines. High-resolution spectral data of three small EBs were obtained on 2013 June 6 with the largest solar telescope, the 1.6 m New Solar Telescope at the Big Bear Solar Observatory. The characteristics of these EBs are analyzed. The sizes of the EBs are in the range of 0.3＂ - 0.8＂ and their durations are only 3-5 min. Our semi-empirical atmospheric models indicate that the heating occurs around the temperature minimum region with a temperature increase of 2700- 3000 K, which is surprisingly higher than previously thought. The radiative and kinetic energies are estimated to be as high as 5 × 1025 - 3.0 × 10^26 erg despite the small size of these EBs. Observations of the magnetic field show that the EBs just appeared in a parasitic region with mixed polarities and were accompanied by mass motions. Nonlinear force-free field extrapolation reveals that the three EBs are connected with a series of magnetic field lines associated with bald patches, which strongly implies that these EBs should be produced by magnetic reconnection in the solar lower atmosphere. According to the lightcurves and the estimated magnetic reconnection rate, we propose that there is a three phase process in EBs： pre-heating, flaring and cooling phases.
基金supported by the National Natural Science Foundation of China (Grant No. 11973026)the National Program on Key Research and Development Project (Grant No. 2021YFA0718500)。
文摘Mass distribution of black holes in low-mass X-ray binaries previously suggested the existence of a ~2–5 M⊙mass gap between the most massive neutron stars and the least massive black holes, while some recent evidence appears to support that this mass gap is being populated. Whether there is a mass gap or not can potentially shed light on the physics of supernova explosions that form neutron stars and black holes, although significant mass accretion of neutron stars including binary mergers may lead to the formation of mass-gap objects. In this review, I collect the compact objects that are probable black holes with masses being in the gap. Most of them are in binaries, their mass measurements are obviously subject to some uncertainties. Current observations are still unable to confidently infer an absence or presence of the mass gap. Ongoing and future surveys are expected to build the mass spectrum of black holes which can be used to constrain the process of their formation especially in binaries. I describe the theoretical predictions for the formation of black holes in various types of binaries, and present some prospects of searching for black holes via electromagnetic and gravitational wave observations.
基金supported by the National Key R&D Program of China No. 2017YFA0402600.support from the National Natural Science Foundation of China (NSFC) through grants U1731237, 11473011, 11590781 and 11629302。
文摘We revisit the mass–size relation of molecular cloud structures based on the column density map of the Cygnus-X molecular cloud complex.We extract 135 column density peaks in Cygnus-X and analyze the column density distributions around these peaks.The averaged column density profiles,N(R),around all the peaks can be well fitted with broken power-laws,which are described by an inner power-law index n,outer power-law index m,and the radius RTP and column density NTP at the transition point.We then explore the M–R relation with different samples of cloud structures by varying the N(R)parameters and the column density threshold,N0,which determines the boundary of a cloud structure.We find that only when N0 has a wide range of values,the M–R relation may largely probe the density distribution,and the fitted power-law index of the M–R relation is related to the power-law index of N(R).On the contrary,with a constant N0,the M–R relation has no direct connection with the density distribution;in this case,the fitted power-law index of the M–R relation is equal to 2(when N_(0)≥N_(TP) and n has a narrow range of values),larger than 2(when N_(0)≥N_(TP) and n has a wide range of values),or slightly less than 2(when N_(0)<N_(TP)).
基金support from the National Key R&D Program of China(No.2017YFA0402700)the National Natural Science Foundation of China(NSFC grants 11573013,11733002,11922302)+2 种基金provided by the Alfred P.Sloan Foundationthe U.S.Department of Energy Office of Sciencesupport and resources from the Center for High-Performance Computing at the University of Utah。
文摘We crossmatch galaxies from Mapping Nearby Galaxies at Apache Point Observatory with the Open Supernova Catalog,obtaining a total of 132 SNe within MaNGA bundle.These 132 SNe can be classified into 67 Type Ia and 65 Type CC.We study the global and local properties of supernova host galaxies statistically.Type Ia SNe are distributed in both star-forming galaxies and quiescent galaxies,while Type CC SNe are all distributed along the star-forming main sequence.As the stellar mass increases,the Type Ia/CC number ratio increases.We find:(1)there is no obvious difference in the interaction possibilities and environments between Type Ia SN hosts and a control sample of galaxies with similar stellar mass and SFR distributions,except that Type Ia SNe tend to appear in galaxies which are more bulge-dominated than their controls.For Type CC SNe,there is no difference between their hosts and the control galaxies in galaxy morphology,interaction possibilities as well as environments;(2)compared to galaxy centers,the SN locations have smaller velocity dispersion,lower metallicity,and younger stellar population.This is a natural result of radius gradients for all these parameters.The SN location and its symmetrical position relative to the galaxy center,as well as regions with similar effective radii have very similar[Mg/Fe],gasphase metallicity,gas velocity dispersion and stellar population age.
基金sponsored by the National Key R&D Program of China with grant 2017YFA0402701the CAS Key Research Program of Frontier Sciences with grant QYZDJSSW-SLH047+4 种基金the support of NSFC grants 11973091,12073079,and 12103025the supports by China Postdoctoral Science Foundation No.2021M691532Jiangsu Postdoctoral Research Funding Program No.2021K179B makes use of data products from the Wide-field Infrared Survey Explorer,which is a joint project of the University of California,Los Angelesthe Jet Propulsion Laboratory/California Institute of Technology,funded by the National Aeronautics and Space Administrationmakes use of data products from the Virginia Tech Spectral-Line Survey(VTSS),which is supported by the National Science Foundation。
文摘We present a large-scale simultaneous survey of the CO isotopologues(^(12)CO,^(13)CO,and C^(18)O)J=1-0 line emission toward the Galactic plane region of l=106°.65 to 109°.50 and b=-1°.85 to 0°.95 using the Purple Mountain Observatory 13.7 m millimeter-wavelength telescope.Except for the molecular gas in the solar neighborhood,the emission from the molecular gas in this region is concentrated in the velocity range of[-60,-35]km s^(-1).The gas in the region can be divided into four clouds,with mass in the range of~10^(3)-10^(4)M☉.We have identified 25 filaments based on the^(13)CO data.The median excitation temperature,length,line mass,line width,and virial parameter of the filaments are 10.89 K,8.49 pc,146.11 M☉pc^(-1),1.01 km s^(-1),and 3.14,respectively.Among these filaments,eight have virial parameters of less than 2,suggesting that they are gravitationally bound and can lead to star formation.Nineteen HⅡregions or candidates have previously been found in the region and we investigate the relationships between these HⅡregions/candidates and surrounding molecular clouds in detail.Using morphology similarity and radial velocity consistency between HⅡregions/candidates and molecular clouds as evidence for association,and raised temperature and velocity broadening as signatures of interaction,we propose that 12 HⅡregions/candidates are associated with their surrounding molecular clouds.In the case of the HⅡregion of S142,the energy of the HⅡregion is sufficient to maintain the turbulence in the surrounding molecular gas.
基金supported by the National Natural Science Foundation of China(grant Nos.12233002,12041306,12147103,U1938201)by the National SKA Program of China(No.2020SKA0120300)+1 种基金by the National Key R&D Program of China(2021YFA0718500)by the Youth Innovations and Talents Project of Shandong Provincial Colleges and Universities(grant No.201909118)。
文摘A negative correlation was found to exist between the low-energy spectral index and the redshift of gamma-ray bursts(GRBs)by Amati et al.It was later confirmed by Geng&Huang and Gruber et al.,but the correlation was also found to be quite dispersive when the sample size was significantly expanded.In this study,we have established two even larger samples of GRBs to further examine the correlation.One of our samples consists of316 GRBs detected by the Swift satellite,and the other one consists of 80 GRBs detected by the Fermi satellite.It is found that there is no correlation between the two parameters for the Swift sample,but there does exist a weak negative correlation for the Fermi sample.The correlation becomes even more significant when the spectral index at the peak flux is considered.It is argued that the absence of the correlation in the Swift sample may be due to the fact that Swift has a very narrow energy response so that it could not measure the low-energy spectral index accurately enough.Further studies based on even larger GRB samples are solicited.
