A Tight Three-parameter Correlation and Related Classification on Gamma-Ray Bursts

Abstract Gamma-ray bursts (GRBs) are widely believed to be from massive collapsars and/or compact binary mergers,which, accordingly, would generate long and short GRBs, respectively. The details on this classification scheme have been in constant debate given more observational data available us. In work, we apply a series of mining methods studying the potential information contained prompt emission GRBs detected by Fermi Burst Monitor. A tight global correlation is found between fluence ( f ), peak flux F duration T 90 ) which takes form log f = 0.75 T 90 + 0.92 F − 7.14 . Based correlation, can define new parameter $L=1.66\,\mathrm{log}\,{T}_{90}+0.84\mathrm{log}\,f-0.46\mathrm{log}F+3.24$?> L 1.66 0.84 0.46 3.24 linear discriminant analysis that distinguish with much less ambiguity than We also discussed three subclasses GRB derived clusters based Gaussian mixture model, suggest that, besides SGRBs, LGRBs may divided into long-bright gamma-ray (LBGRBs) long-faint (LFGRBs), LBGRBs statistical higher LFGRBs; further number pulses LFGRBs.