Constraining nucleon effective masses with flow and stopping observables from the S$\ddot{I}€$RIT experiment

Abstract

Properties of the nuclear equation of state (EoS) can be probed by measuring the dynamical properties of nucleus-nucleus collisions. In this study, we present the directed flow ($v_1$), elliptic flow ($v_2$) and stopping (VarXZ) measured in fixed target Sn + Sn collisions at 270 AMeV with the S$\ddot{I}€$RIT Time Projection Chamber. We perform Bayesian analyses in which EoS parameters are varied simultaneously within the Improved Quantum Molecular Dynamics-Skyrme (ImQMD-Sky) transport code to obtain a multivariate correlated constraint. The varied parameters include symmetry energy, $S_0$, and slope of the symmetry energy, $L$, at saturation density, isoscalar effective mass, $m_s^{\ast }/m_N$, isovector effective mass, $m_v^{\ast }/m_N$ and the in-medium cross-section enhancement factor $\hat{I}\cdot$. We find that the flow and VarXZ observables are sensitive to the splitting of proton and neutron effective masses and the in-medium cross-section. Comparisons of ImQMD-Sky predictions to the S$\ddot{I}€$RIT data suggest a narrow range of preferred values for $m_s^{\ast }/m_N$, $m_v^{\ast }/m_N$ and $\hat{I}\cdot$.