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arXiv 2103.16347astro-ph.HE
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用非参数方法比较研究长伽玛暴的亮度函数和事件率密度

A Comparative Study of Luminosity Functions and Event Rate Densities of Long GRBs with Non-parametric Method

X. F. Dong, X. J. Li, Z. B. Zhang, X. L. Zhang

摘要:

本文重新研究了不同伽马射线暴样本的光度函数和事件率对样本选择和阈值效应的依赖性。为了与以往的研究进行比较,我们选取了88个和118个红移和峰值通量大于2.6 ph cm $^{-2}$ s $^{-1}$的长爆发样本,从中挑选出79个长爆发构成我们的完整样本。发现亮度随红移的演化可以用$L\propto(1+z)^k$表示,但不同的$k$依赖于样品的选择。有趣的是,无论是非演化光度或红移的累积分布被发现也是由样品的选择,而不是仪器的灵敏度。然而,我们的样品的非演化光度类似地分布,具有相当的破裂光度$L_0\sim10^{51}$ erg s $^{-1}$。重要的是,我们用K-S检验验证了两个爆发样本的事件率随红移的三种情况下,除了由于在低红移的$z<1$的采样差异而导致的小的差异之外,类似地演化,其中所有的事件率都显示出过度的高斯轮廓,而不是单调下降,无论样本是否完整。最重要的是,我们发现,爆发率违反恒星形成率在低红移,而他们都是好的,在高红移地区,彼此一致,许多作者以前发现的。因此,我们预测,两种类型的长爆发的青睐,在他们的协会与恒星形成和宇宙金属丰度。

英文摘要:

In this work, we restudy the dependence of luminosity function and event rates for different gamma-ray burst samples on the criteria of sample selection and threshold effect. To compare with many previous studies, we have chosen two samples including 88 and 118 long bursts with known redshift and peak flux over 2.6 ph cm$^{-2}$ s$^{-1}$, from which 79 bursts are picked out to constitute our complete sample. It is found that the evolution of luminosity with redshift can be expressed by $L\propto(1+z)^k$ with a diverse $k$ relied more on the sample selection. Interestingly, the cumulative distributions of either non-evolving luminosities or redshifts are found to be also determined by the sample selection rather than the instrumental sensitivity. Nevertheless, the non-evolving luminosities of our samples are similarly distributed with a comparable break luminosity of $L_0\sim10^{51}$ erg s$^{-1}$. Importantly, we verify with a K-S test that three cases of event rates for the two burst samples evolve with redshift similarly except a small discrepancy due to sampling differences at low-redshift of $z<1$, in which all event rates show an excess of Gaussian profile instead of monotonous decline no matter whether the sample is complete. Most importantly, it is found that the burst rates violate the star formation rate at low redshift, while both of them are good in agreement with each other in the higher-redshift regions as many authors discovered previously. Therefore, we predict that two types of long bursts are favored in terms of their associations with both the star formation and the cosmic metallicity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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