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Main Authors: Xia, Cheng-Jun, Xie, Wen-Jie, Bakhiet, Mohemmedelnazier
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.07170
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author Xia, Cheng-Jun
Xie, Wen-Jie
Bakhiet, Mohemmedelnazier
author_facet Xia, Cheng-Jun
Xie, Wen-Jie
Bakhiet, Mohemmedelnazier
contents Utilizing various astrophysical constraints on neutron star structures, we carry out a Bayesian analysis on the density-dependent behaviors of coupling constants in RMF models as well as the nuclear matter properties at supranuclear densities. The effective nucleon interactions in the isoscalar-scalar, isoscalar-vector, and isovector-vector channels are considered, where the corresponding coupling constants ($α_S, α_V, α_{TV}$) are fixed by dividing entire density range into three regions with six independent parameters. In this work we focus on constraining the density-dependent point-coupling constants at supranuclear densities, while the coupling constants at subsaturation densities are derived from the covariant density functional DD-ME2. For those consistent with astrophysical observations, the coupling constants generally decrease with density and approach to small positive values at large enough densities, which qualitatively agrees with various RMF models. The posterior probability density functions and their correlations of the coupling constants and various nuclear matter properties are examined as well. At $1σ$ level, the constrained coupling constants at density $1.5n_0$ ($2.5n_0$) are $α_S = 3.1^{+0.1}_{-0.05} (1.55^{+0.85}_{-0.2}) \times 10^{-4} \mathrm{MeV}^{-2}$, $α_V = 2.3^{+0.1}_{-0.0} (1.3^{+0.55}_{-0.1}) \times 10^{-4} \mathrm{MeV}^{-2}$, and $α_{TV} = 2.05^{+0}_{-0.4} (2.05^{+0}_{-0.5})\times 10^{-5} \mathrm{MeV}^{-2}$. At larger densities, we find the lower limit of $α_{TV}$ is not well constrained, so that more extensive calculations with larger number of free parameters are necessary.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07170
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Astrophysical constraints on nuclear EOSs and coupling constants in RMF models
Xia, Cheng-Jun
Xie, Wen-Jie
Bakhiet, Mohemmedelnazier
Nuclear Theory
Utilizing various astrophysical constraints on neutron star structures, we carry out a Bayesian analysis on the density-dependent behaviors of coupling constants in RMF models as well as the nuclear matter properties at supranuclear densities. The effective nucleon interactions in the isoscalar-scalar, isoscalar-vector, and isovector-vector channels are considered, where the corresponding coupling constants ($α_S, α_V, α_{TV}$) are fixed by dividing entire density range into three regions with six independent parameters. In this work we focus on constraining the density-dependent point-coupling constants at supranuclear densities, while the coupling constants at subsaturation densities are derived from the covariant density functional DD-ME2. For those consistent with astrophysical observations, the coupling constants generally decrease with density and approach to small positive values at large enough densities, which qualitatively agrees with various RMF models. The posterior probability density functions and their correlations of the coupling constants and various nuclear matter properties are examined as well. At $1σ$ level, the constrained coupling constants at density $1.5n_0$ ($2.5n_0$) are $α_S = 3.1^{+0.1}_{-0.05} (1.55^{+0.85}_{-0.2}) \times 10^{-4} \mathrm{MeV}^{-2}$, $α_V = 2.3^{+0.1}_{-0.0} (1.3^{+0.55}_{-0.1}) \times 10^{-4} \mathrm{MeV}^{-2}$, and $α_{TV} = 2.05^{+0}_{-0.4} (2.05^{+0}_{-0.5})\times 10^{-5} \mathrm{MeV}^{-2}$. At larger densities, we find the lower limit of $α_{TV}$ is not well constrained, so that more extensive calculations with larger number of free parameters are necessary.
title Astrophysical constraints on nuclear EOSs and coupling constants in RMF models
topic Nuclear Theory
url https://arxiv.org/abs/2411.07170