The effect of the initial mass function on the burst rate of GRBs

Astronomy and Astrophysics – Astronomy

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Gamma-Ray: Bursts, Stars: Luminosity Function, Mass Function

Scientific paper

It has been recognized that the long duration gamma-ray bursts(LGRBs) originate from core collapsing of massive stars and the short duration gamma-ray bursts(SGRBs) originate from merging of tight binary systems. So it is naturally speculated that the LGRBs should follow the star formation rate (SFR), but the recent calculation indicated that the LGRB did not exactly trace the SFR.Since only massive star can produce LGRB, the initial mass function (IMF) should have significant influence on the GRB rate.Here we calculate the cosmic GRB rate supposing that the IMF evolves with redshift, and find that we can fit the observation well when the effect of IMF has been taken into account.

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