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Properties of the nuclear equation of state (EoS) can be probed by measuringthe dynamical properties of nucleus-nucleus collisions. In this study, wepresent 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$\pi$RIT TimeProjection Chamber. We perform Bayesian analyses in which EoS parameters arevaried simultaneously within the Improved Quantum Molecular Dynamics-Skyrme(ImQMD-Sky) transport code to obtain a multivariate correlated constraint. Thevaried parameters include symmetry energy, $S_0$, and slope of the symmetryenergy, $L$, at saturation density, isoscalar effective mass, $m_{s}^*/m_{N}$,isovector effective mass, $m_{v}^{*}/m_{N}$ and the in-medium cross-sectionenhancement factor $\eta$. We find that the flow and VarXZ observables aresensitive to the splitting of proton and neutron effective masses and thein-medium cross-section. Comparisons of ImQMD-Sky predictions to the S$\pi$RITdata suggest a narrow range of preferred values for $m_{s}^*/m_{N}$,$m_{v}^{*}/m_{N}$ and $\eta$.

Constraining nucleon effective masses with flow and stopping observables from the S$\pi$RIT experiment