Systematic study of the peak energy of the broad-band Gamma-Ray Burst

TL;DR

This study systematically analyzes the peak energy of GRBs observed by Swift and Fermi, revealing that the diversity in peak energy is likely due to intrinsic jet properties rather than viewing angle effects.

Contribution

It provides a comprehensive catalog of GRB peak energies and challenges the off-axis model explanation for their diversity, suggesting intrinsic jet properties are responsible.

Findings

Lower E_peak^src GRBs are fainter and decay more slowly.

XRFs, XRRs, and C-GRBs have different intrinsic event rates.

Off-axis viewing angles are too small to explain E_peak diversity.

Abstract

We have performed a systematic study of Gamma-Ray Bursts (GRBs), which have various values in the peak energy of the ${\nu}F_{\nu}$ spectrum of the prompt emission, $E_{{\rm peak}}$, observed by \textsl{Swift}/BAT and \textsl{Fermi}/GBM, investigating their prompt and X-ray afterglow emissions. We cataloged the long-lasting GRBs observed by the \textsl{Swift} between 2004 December and 2014 February in 3 categories according to the classification by \citet{2008ApJ...679..570S}: X-Ray Flashes (XRFs), X-Ray Rich GRBs (XRRs), and Classical GRBs (C-GRBs). We then derived $E^{{\rm obs}}_{{\rm peak}}$, as well as $E^{{\rm src}}_{{\rm peak}}$ if viable, of the \textsl{Swift} spectra of their prompt emission. We also analyzed their X-Ray afterglows and found the trend that the GRB events with a lower $E_{{\rm peak}}^{{\rm src}}$, i.e. softer GRBs, are fainter in the 0.3--10 keV X-ray luminosity and decay more slowly than harder GRBs. The intrinsic event rates of the XRFs, XRRs, and C-GRBs were calculated, using the \textsl{Swift}/BAT trigger algorithm. That of either of the XRRs and XRFs is larger than that of the C-GRBs. If we assume that the observational diversity of $E_{{\rm peak}}$ is explained with the off-axis model \citep{2002ApJ...571L..31Y,2004ApJ...607L..103Y}, these results yield the jet half-opening angle of $\Delta\theta\sim 0.3^\circ$, and the variance of the observing angles $\theta_{{\rm obs}} \lesssim0.6^{\circ}$. This implies that the tiny variance of the observing angles of $\lesssim0.6^{\circ}$ would be responsible for the $E_{{\rm peak}}$ diversity observed by \textsl{Swift}/BAT, which is unrealistic. Therefore, we conclude that the $E_{{\rm peak}}$ diversity is not explained with the off-axis model, but is likely to originate from some intrinsic properties of the jets.