J/other/RAA/21.2ivo://CDS.VizieR/J/other/RAA/21.254doi:10.26093/cds/vizier/dx/cbkcfeCDSLiu Z.-Y.Zhang F.-W.Zhu S.-Y.2026-02-10T20:07:54Z2022-04-20T07:26:05ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frgamma-ray-astronomygamma-ray-burstsGamma-ray bursts (GRBs) are brief, intense, gamma-ray flashes in the universe, lasting from a few milliseconds to a few thousand seconds. For short gamma-ray bursts (sGRBs) with duration less than 2 seconds, the isotropic energy (Eiso) function may be more scientifically meaningful and accurately measured than the luminosity (Lp) function. In this work we construct, for the first time, the isotropic energy function of sGRBs and estimate their formation rate. First, we derive the Lp-Ep correlation using 22 sGRBs with known redshifts and well-measured spectra and estimate the pseduo redshifts of 334 Fermi sGRBs. Then, we adopt the Lynden-Bell c- method to study isotropic energy functions and formation rate of sGRBs without any assumption. A strong evolution of isotropic energy E_iso_{prop.to}(1+z)^5.79^ is found, which is comparable to that between Lp and z. After removing effect of the cosmic evolution, the isotropic energy function can be reasonably fitted by a broken power law, which is {phi}(_Eiso,0_){prop.to}E_iso,0^-0.45^ for dim sGRBs and {phi}(E_iso,0_){prop.to}E_iso,0^-1.11^ for bright sGRBs, with the break energy 4.92x10^49^erg. We obtain the local formation rate of sGRBs is about 17.43 events/Gpc^3^/yr. If assuming a beaming angle is 6{deg} to 26{deg}, the local formation rate including off-axis sGRBs is estimated as {rho}_0,all_= 155.79-3202.35events/Gpc^3^/yr.2021RAA....21..254Lhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/other/RAA/21.254CatalogResearchIsServedByTAP VizieR generic servicerelated-tohttps://heasarc.gsfc.nasa.gov/W3Browse/fermi/fermigbrst.html : Fermi cataloghttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/other/RAA/21.254https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/other/RAA/21.254http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/other/RAA/21.254https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/other/RAA/21.254https://vizier.iucaa.in/viz-bin/votable?-source=J/other/RAA/21.254http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/other/RAA/21.254GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapGamma-raydefaultJ/other/RAA/21.254/table2Fermi sGRB Samplee_SgammaFluence (in 10^-6^erg/cm^2^)1e-13J.cm**-2stat.errorfloate_FpeakPeak flux error (in 10^-6^erg/cm^2^/s)1e-09W.m**-2stat.errorfloatEisoIsotropic energy (in 10^50^erg)1e+43Jem.energydoublee_EisoIsotropic energy error (in 10^50^erg)1e+43Jstat.errordoubleLpeakPeak luminosity (in 10^51^erg/s)1e+44Wphys.luminosity;em.gammadoublee_LpeakPeak luminosity error (in 10^51^erg/s)1e+44Wstat.errordoublerecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintGRBGRB name (GRBYYMMDDNNN)meta.id;meta.maincharzRedshiftsrc.redshiftfloatT90Observed frame durationspos.frame;obs.fieldfloate_T90Observed frame duration errorsstat.errorfloatEpeakObserved peak energykeVphys.energy;stat.maxfloate_EpeakObserved peak energy errorkeVstat.errorfloatalphaLow energy spectral indexspect.indexfloate_alphaLow energy spectral index errorstat.error;pos.eq.rafloatSgammaFluence (in 10^-6^erg/cm^2^)1e-13J.cm**-2phot.fluence;em.gamma.hardfloatFpeakPeak flux (in 10^-6^erg/cm^2^/s)1e-09W.m**-2phot.flux;stat.maxfloat