A universal energy distribution function for repeating fast radio bursts?
Abstract
Assuming: fast radio bursts (FRBs) are produced by neutron stars at cosmological distances; FRB rate tracks core-collapse supernova rate; and all FRBs repeat with a universal energy distribution function (EDF) dN/dE ~ E(-beta) with a high-end cutoff at burst energy Emax. We find that observations so far are consistent with a universal EDF with a power-law index 1.5 < beta < 2.2, high-end cutoff Emax/E0 > 30 and normalization N0 < 2 per day; where N0 is the integrated rate above the reference burst energy E0 = 1.2e39 fr(-1) erg (fr is the radio emission efficiency). Implications of such an EDF are discussed.
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