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arXiv 1402.5463astro-ph.HEgr-qc
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利用E_p-L_p相关计算BATSE数据的短伽马射线暴形成率和合并致密双星的最小引力波事件率

Short Gamma Ray Burst Formation Rate from BATSE data using E_p-L_p correlation and the minimum gravitational wave event rate of coalescing compact binary

Daisuke Yonetoku, Takashi Nakamura, Tatsuya Sawano, Keitaro Takahashi, Asuka Toyanago

摘要:

利用BATSE观测到的72个具有较好光谱数据的短伽玛射线暴(SGRB),应用$E_p$ -- $L_p$相关方法,确定了它们的红移和光度。对于53个观测到的通量比$4 \times 10^{-6}~{\rm erg~cm^{-2}s^{-1}}$亮的SGRB,直到$z=1$的累积红移分布与22个{ \it Swift}~ SGRB的一致。这表明通过$E_p$-$L_p$相关性对SGRB的红移测定工作得很好。在$z=0$的最小事件率估计为$ρ_{SGRB}(0) = 6.3_{-3.9}^{+3.1} \times 10^{-10}~{\rm events~Mpc^{-3}yr^{-1}}$,使最小的光束角是$0.6^\circ-7.8^\circ$假设合并率$10^{-7}-4\times 10^{-6}~{\rm events~Mpc^{-3}yr^{-1}}$建议从脉冲双星数据。有趣的是,该角度与$\sim 4^\circ-8^\circ$ \citep{fong13b}的SGRB 130603 B的角度一致。另一方面,如果我们假设从具有波束角的观测值的四个SGRB建议的$\sim 6^\circ$的波束角,则包括离轴SGRB的最小事件率被估计为$ρ_{SGRB,all}^{min}(0)=1.15_{-0.71}^{+0.57}\times 10^{-7}~{\rm events~Mpc^{-3}yr^{-1}}$。如果SGRB是由中子星(NS)和/或黑洞(BH)的合并引起的,则该事件率导致分别由KAGRA,advanced-LIGO,advanced-Virgo和GEO组成的全球网络对NS-NS(NS-BH)双星的最小引力波探测率为$\rm 3.9_{-2.4}^{+1.9} (152_{-94}^{+75})~events~y^{-1}$。

英文摘要:

Using 72 Short Gamma Ray Bursts (SGRBs) with well determined spectral data observed by BATSE, we determine their redshift and the luminosity by applying $E_p$--$L_p$ correlation for SGRBs found by \cite{tsutsui13}. For 53 SGRBs with the observed flux brighter than $4 \times 10^{-6}~{\rm erg~cm^{-2}s^{-1}}$, the cumulative redshift distribution up to $z=1$ agrees well with that of 22 {\it Swift}~SGRBs. This suggests that the redshift determination by the $E_p$--$L_p$ correlation for SGRBs works well. The minimum event rate at $z=0$ is estimated as $ρ_{SGRB}(0) = 6.3_{-3.9}^{+3.1} \times 10^{-10}~{\rm events~Mpc^{-3}yr^{-1}}$ so that the minimum beaming angle is $0.6^\circ-7.8^\circ$ assuming the merging rate of $10^{-7}-4\times 10^{-6}~{\rm events~Mpc^{-3}yr^{-1}}$ suggested from the binary pulsar data. Interestingly, this angle is consistent with that for SGRB130603B of $\sim 4^\circ-8^\circ$\citep{fong13b}. On the other hand, if we assume the beaming angle of $\sim 6^\circ$ suggested from four SGRBs with the observed value of beaming angle, the minimum event rate including off-axis SGRBs is estimated as $ρ_{SGRB,all}^{min}(0)=1.15_{-0.71}^{+0.57}\times 10^{-7}~{\rm events~Mpc^{-3}yr^{-1}}$. If SGRBs are induced by coalescence of binary neutron stars (NSs) and/or black holes (BHs), this event rate leads to the minimum gravitational-wave detection rate of $\rm 3.9_{-2.4}^{+1.9} (152_{-94}^{+75})~events~y^{-1}$ for NS-NS (NS-BH) binary, respectively, by a worldwide network with KAGRA, advanced-LIGO, advanced-Virgo, and GEO.

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