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First Digit Distributions of Gamma-Ray Bursts

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The occurrence of the first significant digits from real world sources is usually not equally distributed,but is consistent with a logarithmic distribution instead,known as Benford's law.In this work,we perform a comprehensive investigation on the first digit distributions of the duration,fluence,and energy flux of gamma-ray bursts(GRBs)for the first time.For a complete GRB sample detected by the Fermi satellite,we find that the first digits of the duration and fluence adhere to Benford's law.However,the energy flux shows a significant departure from this law,which may be due to the fact that a considerable part of the energy flux measurements is restricted by lack of spectral information.Based on the conventional duration classification scheme,we also check if the durations and fluences of long and short GRBs(with duration T90＞2 s and T90≤2 s,respectively)obey Benford's law.We find that the fluences of both long and short GRBs still agree with the Benford distribution,but their durations do not follow Benford's law.Our results hint that the long-short GRB classification scheme does not directly represent the intrinsic physical classification scheme.

(stars:)gammaray burst:generalmethods:statisticalastronomical databases:miscellaneous

Hou-Yu Lai、Jun-Jie Wei

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Purple Mountain Observatory,Chinese Academy of Sciences,Nanjing 210023,China

School of Astronomy and Space Sciences,University of Science and Technology of China,Hefei 230026,China

Strategic Priority Research Program of the Chinese Academy of SciencesNational Natural Science Foundation of China(NSFC)National Natural Science Foundation of China(NSFC)Key Research Program of Frontier SciencesNatural Science Foundation of Jiangsu Province

XDB05504001237305312321003ZDBS-LY-7014of Chinese Academy of SciencesBK20221562

2024

10.1088/1674-4527/ad386c

天文和天体物理学研究
中国科学院国家天文台

天文和天体物理学研究

CSTPCD
影响因子：0.406
ISSN：1674-4527
年,卷(期)：2024.24(5)
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