Based on the ultrarelativistic quantum molecular dynamics transport model, combined with experimental data of directed flow, elliptic flow, and nuclear stopping power measured by FOPI in ${}^{197}\mathrm{Au}+{}^{197}\mathrm{Au}$ collisions at beam energies ($E_{\mathrm{lab}}$) of 0.25 and 0.4 GeV/nucleon, the incompressibility of the nuclear equation of state $K_0$, the nucleon effective mass $m^{*}$, and 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 uncertainties $\le 15\%$, however, $K_0$ cannot be constrained tightly. We deduce $m^{*}/m_0=0.{78}_{-0.10}^{+0.09}$ and $F=0.{75}_{-0.07}^{+0.08}$ with experimental data at $E_{\mathrm{lab}}=0.25$ GeV/nucleon, and these values increased to $m^{*}/m_0=0.{88}_{-0.03}^{+0.03}$ and $F=0.{88}_{-0.07}^{+0.06}$ at $E_{\mathrm{lab}}=0.4$ GeV/nucleon. The obtained results are further verified with rapidity-dependent flow data.

Close

PrevNext

View figure in article

• Collective flow
• Equations of state of nuclear matter
• Low & intermediate energy heavy-ion reactions
• Nuclear matter
• Relativistic heavy-ion collisions
• Bayesian methods