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We perform Monte Carlo simulations to study Ep-Eiso correlation in thecontext of a multiple subjet model (or inhomogeneous jet model) for gamma-raybursts (GRBs), X-ray--rich GRBs (XRRs), and X-ray flashes (XRFs). For a singlesubjet, we find that Ep prop. Eiso^0.4 for large viewing angles. For themultiple subjet model in which all the subjets have the same intrinsicproperties, off-axis events show Ep prop. Eiso^a with 0.4<a<0.5. If theintrinsic properties of the subjets are distributed so that on-axis emission ofeach subjet follows a correlation Ep prop. Liso^1/2, we obtain the Amaticorrelation (Ep prop. Eiso^1/2) over three orders of magnitude in Ep. Althoughthe scatter around the Amati correlation is large in the simulation, theresults are consistent with the observed properties of GRBs with knownredshifts and the BASTE GRBs with pseudo redshifts derived from thelag-luminosity correlation. We also calculate the event rates, the redshiftdistributions, and the T90 duration distributions of GRBs, XRRs, and XRFs whichcan be detected by HETE-2, assuming that the source redshift distribution is inproportion to the cosmic star formation rate. It is found that the event ratesof three classes are comparable, that the average redshift of the XRRs is alittle larger than those of the GRBs and the XRFs, and that short XRRs arisewhen a single subjet is viewed off-axis or viewed on-axis with slightly highredshift.Comment: 9 pages, 7 figures; accepted for publication in Ap

Ep‐EisoCorrelation in a Multiple Subjet Model of Gamma‐Ray Bursts

E_p‐E_isoCorrelation in a Multiple Subjet Model of Gamma‐Ray Bursts