Abstract
We present for the first time the X-ray luminosity function of short gamma-ray bursts (sGRBs) estimated from 22 Fermi sGRBs. We find that the cumulative distribution of X-ray emission at rest frame 200 s is well described by a broken power law function, which is \(\phi (L_{\mathrm{X,0}})\propto L_{\mathrm{X,0}}^{-0.20\pm 0.04}\) for dim bursts and \(\phi (L_{\mathrm{X,0}})\propto L_{\mathrm{X,0}}^{-1.05\pm 0.11}\) for bright bursts, with the break luminosity is \(2.57\times 10^{46}~\mbox{erg}\,\mbox{s}^{-1}\), where the cosmological evolution of luminosity is taken into account. We also find that the early X-ray luminosity of sGRBs is correlated with the isotropic energy/luminosity of prompt emission. These results are need to confirm with large observed data of sGRBs.
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Acknowledgements
We acknowledgment the use of public data from the Fermi and Swift catalogue. This work was supported in part by NSFC under grants 11763003, and by the Guangxi Natural Science Foundation (No. 2017GXNSFAA198094).
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Liu, ZY., Zhang, FW. & Zhu, SY. The X-ray luminosity function of short gamma-ray bursts. Astrophys Space Sci 366, 39 (2021). https://doi.org/10.1007/s10509-021-03945-3
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DOI: https://doi.org/10.1007/s10509-021-03945-3