Bayesian analysis of properties of nuclear matter with the FOPI experimental data

Fuente: arXiv
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Autores principales: Wei, Guojun, Nan, Manzi, Li, Pengcheng, Wang, Yongjia, Li, Qingfeng, Yong, Gaochan, Liu, Fuhu
Formato: Preprint
Publicado: 2025
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author Wei, Guojun
Nan, Manzi
Li, Pengcheng
Wang, Yongjia
Li, Qingfeng
Yong, Gaochan
Liu, Fuhu
author_facet Wei, Guojun
Nan, Manzi
Li, Pengcheng
Wang, Yongjia
Li, Qingfeng
Yong, Gaochan
Liu, Fuhu
contents Based on the ultra-relativistic quantum molecular dynamics (UrQMD) transport model, combined with experimental data of directed flow, elliptic flow, and nuclear stopping power measured by FOPI in $\rm ^{197}Au+^{197}Au$ collisions at beam energies ($E_{lab}$) of 0.25 and 0.4 GeV/nucleon, the incompressibility of the nuclear equation of state $K_0$, the nucleon effective mass $m^*$, and the in-medium correction factor ($F$, with respect to free-space values) on the nucleon-nucleon elastic cross sections are studied by Bayesian analysis. It is found that both $m^*$ and $F$ can be tightly constrained with the uncertainty $\le$ 15\%, however, $K_0$ cannot be constrained tightly. We deduce $m^*/m_0 = 0.78^{+0.09}_{-0.10}$ and $F = 0.75^{+0.08}_{-0.07}$ with experimental data at $E_{lab}$ = 0.25 GeV/nucleon, and the obtained values increased to $m^*/m_0 = 0.88^{+0.03}_{-0.03}$ and $F = 0.88^{+0.06}_{-0.07}$ at $E_{lab}$ = 0.4 GeV/nucleon. The obtained results are further verified with rapidity-dependent flow data.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03406
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian analysis of properties of nuclear matter with the FOPI experimental data
Wei, Guojun
Nan, Manzi
Li, Pengcheng
Wang, Yongjia
Li, Qingfeng
Yong, Gaochan
Liu, Fuhu
Nuclear Theory
Based on the ultra-relativistic quantum molecular dynamics (UrQMD) transport model, combined with experimental data of directed flow, elliptic flow, and nuclear stopping power measured by FOPI in $\rm ^{197}Au+^{197}Au$ collisions at beam energies ($E_{lab}$) of 0.25 and 0.4 GeV/nucleon, the incompressibility of the nuclear equation of state $K_0$, the nucleon effective mass $m^*$, and the in-medium correction factor ($F$, with respect to free-space values) on the nucleon-nucleon elastic cross sections are studied by Bayesian analysis. It is found that both $m^*$ and $F$ can be tightly constrained with the uncertainty $\le$ 15\%, however, $K_0$ cannot be constrained tightly. We deduce $m^*/m_0 = 0.78^{+0.09}_{-0.10}$ and $F = 0.75^{+0.08}_{-0.07}$ with experimental data at $E_{lab}$ = 0.25 GeV/nucleon, and the obtained values increased to $m^*/m_0 = 0.88^{+0.03}_{-0.03}$ and $F = 0.88^{+0.06}_{-0.07}$ at $E_{lab}$ = 0.4 GeV/nucleon. The obtained results are further verified with rapidity-dependent flow data.
title Bayesian analysis of properties of nuclear matter with the FOPI experimental data
topic Nuclear Theory
url https://arxiv.org/abs/2509.03406