Generalized relationship between E_P and brighthess for multi-spike GRBs

摘要

We investigate J5p-brightness/luminosity correlations such as the Amati relation for GRBs with multiple spikes. The distribution of Ep for each spike is investigated against the isotropic equivalent energy during a spike Eiso(D), the average isotropic luminosity during a spike Liso(D)J, and their geometrical corrected values Ey and Lj. The result implies clear correlations of those quantities for each spike as well as for the sample involving many gamma-ray bursts. There are clear correlations in the log Lγ(D)-log Ep(D) plot over the Ep(D) range from a few tens of keV to several hundreds of keV, i. e. from X-ray flash region to classical GRB regime.