Possible Origin of Lognormal Distributions in Gamma-Ray Bursts

Abstract

We show that if the intrinsic break energy of Gamma-Ray Bursts (GRBs) is determined by the product of more than three random variables the observed break energy distribution becomes almost lognormal including the redshift effect because of the central limit theorem. The excess from the lognormal distribution at the low break energy is possibly due to the high redshift GRBs. The same argument may also apply to the pulse duration, the interval between pulses and so on.

11 pages, 3 figures, accepted for publication in ApJL

References in corpus (3)

• Fundamental Physical Parameters of Collimated Gamma-Ray Burst Afterglows
• Peak Luminosity-Spectral Lag Relation Caused by the Viewing Angle of the Collimated Gamma-Ray Bursts
• Time Scales in Long GRBs

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