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arXiv 2202.09999astro-ph.HE
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32个费米伽马射线暴的谱滞后跃迁及其在约束洛伦兹不变性破坏中的应用

Spectral Lag Transition of 32 Fermi Gamma-ray Bursts and their Application on Constraining Lorentz Invariance Violation

Zi-Ke Liu, Bin-Bin Zhang, Yan-Zhi Meng

摘要:

谱滞后由正向负转变是少数伽玛暴中不常见的现象。在Lorentz不变性可能被破坏的假设下,利用这一特性约束了可见光子的临界量子引力能($E_{\rm QG}$).本文在前人研究的基础上,系统地研究了Fermi/GBM GRB样品的滞后跃迁特征,以建立一个全面的洛伦兹不变性破坏(LIV)的物理极限。这次搜索得到了32个具有红移的伽玛暴,它们表现出滞后跃迁现象。我们首先适合每个滞后-E关系的32个伽玛暴与经验顺利打破幂律函数,并发现滞后过渡通常发生在约400千电子伏。然后,我们将LIV效应应用到拟合中,这使我们能够约束$E_{\rm QG}$的线性和二次值的下限,这些值通常分别分布在$1.5\times 10^{14}$ GeV和$8\times 10^{5}$ GeV。

英文摘要:

The positive-to-negative transition of spectral lag is an uncommon feature reported in a small number of GRBs. An application of such a feature has been made to constrain the critical quantum gravity energy ($E_{\rm QG}$) of the light photons under the hypothesis that the Lorentz invariance might be violated. Motivated by previous case studies, this paper systematically examined the up-to-date Fermi/GBM GRB sample for the lag transition feature to establish a comprehensive physical limit on the Lorentz Invariance Violation (LIV). This search resulted in 32 GRBs with redshift available, which exhibit the lag-transition phenomenon. We first fit each of the lag-E relations of the 32 GRBs with an empirical smoothly broken power law function, and found that the lag transition occurs typically at about 400 keV. We then implemented the LIV effect into the fit, which enabled us to constrain the lower limit of the linear and quadratic values of $E_{\rm QG}$, which are typically distributed at $1.5\times 10^{14}$ GeV and $8\times 10^{5}$ GeV, respectively.

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