On the event rate and luminosity function of superluminous supernovae

摘要

We calculate the rate per unit volume of hydrogen-poor superluminous supernovae (SLSNe-I) based on the 17 events discovered with the Pan-STARRS1 Medium Deep Survey (PS1 MDS). Two forms of the luminosity LF) are assumed : a log-normal form and a single power-law form, respectively. The rate of SLSNe-I is assumed to be proportional to the cosmic star formation rate with an additional redshift evolution of (1 + z)(alpha). Our results show that the single power-low form fits the data better than the log-normal form, and the event rate of SLSNe-I is proportional to the cosmic star formation rate directly (with alpha = 0). We measure the SLSNe-I rate to be about 40 yr(-1)Gpc(-3) at a weighted mean redshift of (Z) over bar = 0.89, which is consistent with previous works.

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