A Revisit of the Luminosity-E_p relation of Gamma-Ray Bursts

Using 5218 time-resolved spectra for 185 Gamma-Ray Bursts (GRBs) we revise the relation between isotropic-equivalent luminosities (L_iso) and peak energies (E'_p) of the vF_v spectra in the rest frames of GRBs. We discuss possible implications of this relation for the fireball models. Our studies show that (1) the relation L_iso∝E'_p² holds for GRBs individually and collectively, and (2) both the kinetic-energy dominated internal shock model and the magnetic-dissipation dominated external shock model can well interpret the L_iso∝E'_p² and the value of ω. It is found that our results are in good agreement with those of Liang et al. 2004.