论文标题
关于超小超新星的事件速率和光度函数
On the event rate and luminosity function of superluminous supernovae
论文作者
论文摘要
我们根据Pan-Starrs1中介质深度调查(PS1 MDS)发现的17个事件计算氢贫血超小型超新星(SLSNE-I)的每单位体积速率。假定了两种形式的光度函数(LF):分别是对数正态形式和单个幂律形式。假定SLSNE-I的速率与宇宙恒星的形成速率成正比,额外的红移演变为$(1+Z)^α$。我们的结果表明,单个功率 - 低形式比对数正态形式更适合数据,并且SLSNE-I的事件速率直接与宇宙恒星形成速率成正比($α= 0 $)。我们以加权的平均红移为$ \ overline z = 0.89 $,衡量Slsne-i速率约为$ 40〜 \ rm {yr^{ - 1} gpc^{ - 3}} $,这与以前的作品一致。
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 function (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 $(1+z)^α$. 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 $α=0$). We measure the SLSNe-I rate to be about $40 ~\rm{yr^{-1}Gpc^{-3} }$ at a weighted mean redshift of $\overline z=0.89$, which is consistent with previous works.