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Differential Source Count for Gamma Ray Bursts

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(2020)cite arxiv:2011.03945Comment: 15 pages, 5 figures.

Abstract

In this work, we revisit our earlier attempt to quantify the intrinsic luminosity function $N(L)dL$ of Gamma Ray Bursts (GRBs) using observational constraints on the distribution of intrinsic luminosities. In our earlier work, the median luminosity $L_median(z)$ was calculated, as a function of redshift, of beamed, identical, detectable sources of known redshifts, and compared with the luminosities of nearby GRBs of known redshift. In this paper, we constrain $N(L)dL$ from the observed flux distribution $N(F)dF$ by calculating the expected $N(F)$ from a sample of GRBs with unknown redshift. We compare our theoretical expectations from a physical model with Fermi GBM data and thus constrain the angular emission profile of the GRBs. We find that at wide angles, $N(L)$ is consistent with having a subluminous component, but that it is inconsistent with purely on-axis viewing.

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