The photospheric radiation model for the prompt emission of Gamma-ray Bursts: Interpreting four observed correlations

Abstract

We show that the experiential $E_{\mathrm{p}}-L$, $\Gamma -L$, $E_{\mathrm{p}}-\Gamma$ and ${\bar{\eta }}_{\gamma }-E_{\mathrm{p}}$ correlations (where $L$ is the time-averaged luminosity of the prompt emission, $E_{\mathrm{p}}$ is the spectral peak energy, $\Gamma$ is the bulk Lorentz factor and ${\bar{\eta }}_{\gamma }$ is the emission efficiency of Gamma-ray bursts) are well consistent with the relations between the resembling parameters predicted in the photospheric radiation model of the prompt emission of Gamma-ray bursts. The time-resolved thermal radiation of GRB 090902B does follow the $E_{\mathrm{p}}-L$ and $\Gamma -L$ correlations. A reliable interpretation of the four correlations in alternative models is still lacking. These facts may point towards a photospheric origin of prompt emission of some Gamma-ray Bursts.

arXiv comment9 pages, 1 figure, accepted for publication in ApJL

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