Softness Ratio of SWIFT Gamma-ray Bursts and Relevant Correlations

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Main Authors: Xu, Fan, Huang, Yong-Feng, Li, Liang, Geng, Jin-Jun, Wu, Xue-Feng, Zhang, Song-Bo, Deng, Chen, Hu, Chen-Ran, Dong, Xiao-Fei, Gao, Hao-Xuan
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Published: 2025
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author Xu, Fan
Huang, Yong-Feng
Li, Liang
Geng, Jin-Jun
Wu, Xue-Feng
Zhang, Song-Bo
Deng, Chen
Hu, Chen-Ran
Dong, Xiao-Fei
Gao, Hao-Xuan
author_facet Xu, Fan
Huang, Yong-Feng
Li, Liang
Geng, Jin-Jun
Wu, Xue-Feng
Zhang, Song-Bo
Deng, Chen
Hu, Chen-Ran
Dong, Xiao-Fei
Gao, Hao-Xuan
contents The properties of X-ray flashes (XRFs) and X-ray rich gamma-ray bursts (XRRs) as compared with classical gamma-ray bursts (C-GRBs) have been widely discussed during the \emph{Swift} era. It has been proposed that XRFs and XRRs are low-energy extensions of the GRB population so that they should follow similar correlations. To further examine this idea, we collect a sample of $303$ GRBs detected by \emph{Swift} over the past two decades, all of which have reliable redshifts and spectral parameters. The bursts are classified into XRFs, XRRs, and C-GRBs based on their softness ratio (SR), which is calculated by dividing the $25-50$ keV fluence with the $50-100$ keV fluence. A strong correlation is found among the isotropic energy $E_{\mathrm{iso}}$, peak luminosity $L_{\mathrm{p}}$, and rest frame burst duration $T_{90, \mathrm{rest}}$, i.e., $E_{\mathrm{iso}} \propto L_{\mathrm{p}}^{0.88\pm0.02} T_{90, \mathrm{rest}}^{0.58\pm0.02}$. Additionally, two tight three-parameter correlations involving SR and the rest-frame peak energy $E_{\mathrm{p}}$ are also derived, i.e. $E_{\mathrm{p}} \propto E_{\mathrm{iso}}^{0.20\pm0.02} \mathrm{SR}^{-2.27\pm0.15}$ and $E_{\mathrm{p}} \propto L_{\mathrm{p}}^{0.17\pm0.02} \mathrm{SR}^{-2.33\pm0.14}$. It is interesting to note that XRFs, XRRs, and C-GRBs all follow the above correlations. The implications of these correlations and their potential application in cosmology are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06508
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Softness Ratio of SWIFT Gamma-ray Bursts and Relevant Correlations
Xu, Fan
Huang, Yong-Feng
Li, Liang
Geng, Jin-Jun
Wu, Xue-Feng
Zhang, Song-Bo
Deng, Chen
Hu, Chen-Ran
Dong, Xiao-Fei
Gao, Hao-Xuan
High Energy Astrophysical Phenomena
The properties of X-ray flashes (XRFs) and X-ray rich gamma-ray bursts (XRRs) as compared with classical gamma-ray bursts (C-GRBs) have been widely discussed during the \emph{Swift} era. It has been proposed that XRFs and XRRs are low-energy extensions of the GRB population so that they should follow similar correlations. To further examine this idea, we collect a sample of $303$ GRBs detected by \emph{Swift} over the past two decades, all of which have reliable redshifts and spectral parameters. The bursts are classified into XRFs, XRRs, and C-GRBs based on their softness ratio (SR), which is calculated by dividing the $25-50$ keV fluence with the $50-100$ keV fluence. A strong correlation is found among the isotropic energy $E_{\mathrm{iso}}$, peak luminosity $L_{\mathrm{p}}$, and rest frame burst duration $T_{90, \mathrm{rest}}$, i.e., $E_{\mathrm{iso}} \propto L_{\mathrm{p}}^{0.88\pm0.02} T_{90, \mathrm{rest}}^{0.58\pm0.02}$. Additionally, two tight three-parameter correlations involving SR and the rest-frame peak energy $E_{\mathrm{p}}$ are also derived, i.e. $E_{\mathrm{p}} \propto E_{\mathrm{iso}}^{0.20\pm0.02} \mathrm{SR}^{-2.27\pm0.15}$ and $E_{\mathrm{p}} \propto L_{\mathrm{p}}^{0.17\pm0.02} \mathrm{SR}^{-2.33\pm0.14}$. It is interesting to note that XRFs, XRRs, and C-GRBs all follow the above correlations. The implications of these correlations and their potential application in cosmology are discussed.
title Softness Ratio of SWIFT Gamma-ray Bursts and Relevant Correlations
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2505.06508