论文标题
发现长GRB的通用相关性及其在研究亮度功能和形成速率的研究中的应用
Discovery of a Universal Correlation For Long and Short GRBs and Its Application on the Study of Luminosity Function and Formation Rate
论文作者
论文摘要
已知伽马射线爆发（GRB）是宇宙中最暴力的爆炸，并且在文献中已经提出了可观察到的GRB特性之间的各种相关性，但是这些相关性都不适用于长GRB和短GRB。在本文中，我们报告了使用GRB的三个及时发射属性的通用相关性，即适用于长和短的GRB，即，各向同性峰值光度$ l _ {\ rm ISO} $，时间 - 插图的及时发射频谱的峰值峰值峰值发射频谱的峰值能量0.45} $，$ l _ {\ rm iso} \ propto e _ {\ rm peak}^{1.94} t_ {0.45}^{0.37} $。这种通用相关性仅涉及GRB迅速发射的属性，并且不需要任何余辉阶段的信息，这可以用作相对无偏的红移估计器。在这里，我们使用这种相关性来估计短伽玛射线爆发的伪红移，然后使用Lynden-Bell方法获得其亮度函数和形成速率的非参数估计。光度函数为$ψ（l_0）\ propto {l_0^{ - 0.63 \ pm {0.07}}} $ dim sgrbs和$ψ（l_0）\ propto {l_0^{-1.96 \ 1.96 \ pm pm {0.28}}} $ $ 6.95 _ { - 0.76}^{+0.84} \ times10^{50} erg/s $。 SGRB的局部编队率约为15个事件$ \ rm gpc^{ - 3} yr^{ - 1} $。这种普遍的相关性可能对GRB物理具有重要意义，这意味着长长和短的GRB应具有相似的辐射过程。
Gamma-ray bursts (GRBs) are known to be the most violent explosions in the universe, and a variety of correlations between observable GRB properties have been proposed in literature, but none of these correlations is valid for both long GRBs and short GRBs. In this paper we report the discovery of a universal correlation which is suitable for both long and short GRBs using three prompt emission properties of GRBs, i.e. the isotropic peak luminosity $L_{\rm iso}$, the peak energy of the time-integtated prompt emission spectrum $E_{\rm peak}$, and the "high signal" timescale $T_{\rm 0.45}$, $L_{\rm iso} \propto E_{\rm peak}^{1.94} T_{0.45}^{0.37}$. This universal correlation just involves properties of GRB prompt emission and does not require any information of afterglow phase, which can be used as a relatively unbiased redshift estimator. Here we use this correlation to estimate the pseudo-redshifts for short Gamma Ray Bursts and then use Lynden-Bell method to obtain a non-parametric estimate of their luminosity function and formation rate. The luminosity function is $ψ(L_0)\propto{L_0^{-0.63\pm{0.07}}}$ for dim SGRBs and $ψ(L_0)\propto{L_0^{-1.96\pm{0.28}}}$ for bright SGRBs, with the break point $6.95_{-0.76}^{+0.84}\times10^{50} erg/s$. The local formation rate of SGRBs is about 15 events $\rm Gpc^{-3}yr^{-1}$ . This universal correlation may have important implications for GRB physics, implying that the long and short GRBs should share similar radiation processes.
