Study On The Relationship Between The Onset And The Jet Break Of Gamma-Ray Bursts And The Spatial Association Between The Gamma-Ray Bursts And The Fast Radio Bursts

Gamma Ray Bursts(GRB)originate in the massive stars collapse or the compact star merging.GRB occur in cosmological distance,star level and extreme high-energy gamma rays explosions,it is the most luminous explosions in the universe.GRB has provided important laboratory for testing and developing the physical theory.The empirical relation of luminosity is an important way to study the physics and cosmology of gamma-ray bursts.The paper looks for the relationship between the onset and the jet break of gamma-ray bursts for studying its physical origin.Fast radio bursts(FRB)is a kind of transient source that may be associated with gamma-ray bursts,however,there are no definitive observations of FRB and GRB association until now.The paper looks for the possibility that FRB is associated with GRB in spatial distribution.It provides clues for the study of physical origin about FRB.In order to study the relationship between the onset and the jet break of gamma-ray bursts,the paper has collected more than 270 optical observations of GRB from literature and GCN.At the same time,the paper based on those data to search for GRB which has the onset and the jet break.The composition of optical afterglow was analyzed through the empirical function of the optical variation curve,and 10 candidates were screened out through the closed relationship between the external shock wave model and the frequency domain.We find:(1)There are 6 gamma-ray bursts with significant onset and jet break in the optical afterglow.(2)There are 4 gamma-ray bursts with forward shock peak which was beneath the reverse shock component and jet break in the optical afterglow.Based on the isotropic luminosity Liso,the Initial lenz factor ?0.the rest-frame peak energy Ep,z,the peak time of onset bump To,z and the jet break time Tb,z in the 10 gamma-ray bursts,We get:Liso/erg/s=10(48.02±1.76)(Ep,z/keV)(1.88±0.43)?0(-0.44±1.15),Liso/erg/s=10(46.39±1.27)(Ep,z/keV)(1.65±0.28)(Tb,z/s)(0.29±0.29)and Liso/erg/s=10(46.05±1.19)(Ep,z/keV)(1.81±0.25)(To,z/s)(0.56±0.39).By comparing those relations,we found the relationship is ?0 ? Tb z(-0.66±0 31)when the fireball begins to decelerate,then the Lorentz factor ?0 decreases as the jet break time Tb,z increase,and we found the relationship is Tb,z ? To,z(1.93±0.54)when the peak time of onset bump To,z increase as the jet break time Tb,z increase.The paper collects the data of spatial azimuth of 65 FRB and 6191 GRB detected by CGRO/BATSE,Fermi/GBM and Swift satellite as of January 2019 for studying the spatial correlation between FRB and GRB.We look for GRB that might be associated with FRB from the perspective of spatial location.The results show that:(1)Without any GRB was association with FRB in the Swift with better accuracy in spatial position detection.(2)The samples of CGRO/BATSE and Fermi/GBM with poorer accuracy in spatial position detection have 369 and 693 GRBs coincident with the FRB,respectively.When analyzing the probability of the association between a GRB and FRB,and when the error radius(ER)of the positioning centers is less than 1°,we find that there are four GRBS with a high probability of FRB association in the spatial position.the radius(ER)under the condition of ER less than 1° GRB and FRB space into associate on,we found that there is larger probability which exist association between 4 GRB and FRB in space position when we,They are:4B 940826 with FRB 180324(ER=0.45°),4B 951202 with FRB 180110(ER=0.62°),GRB 981203 with FRB 180315(ER=0.63°)and GRB 970723 with FRB 160608(ER=0.75°),respectively.The simulation results of spatial random scatter point show that:(1)Based on the total sample(6191 GRB),we can obtain 46± 6 and 3 ± 2 GRBs coincident with the observed FRB at the positions when we take the spatial position error is less than 1 degree and 0.1 degree.(2)Based on the simulation results of Swift instrument,there are 0.4 GRB associate with the observed FRB in average,in fact,GRB in association with FRB has not been found in actual observations.Based on the result of observation and simulation,the possibility of GRB co-forming with the currently detected FRB cannot be ruled out.More rapid radio bursts are expected to be combined with GRB to solve this association puzzle.