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With the semiclassical Landau-Vlasov transport model we studied the stoppingobservable $R_E$, the energy-based isotropy ratio, for the$^{129}$Xe\,+\,$^{120}$Sn reaction at beam energies spanning 12$A$ to 100$A$MeV. We investigated the impacts of the nonlocality of the nuclear mean field,of the in-medium modified nucleon-nucleon ($NN$) cross section and of thereaction centrality. A fixed set of model parameters yields $R_E$ values thatfavorably compare with the experimental ones, but only for energies below theFermi energy $E_F$. Above $E_F$ agreement is readily possible, but by a smoothevolution with energy of the parameter that controls the in-medium modificationof $NN$ cross section. By comparing the simulation correction factor ${\cal F}$applied to the free $NN$ cross section with the one deduced from experimentaldata [Phys.\ Rev.\ C\,{\bf 90}, 064602 (2014)], we infer that the zero-rangemean field almost entirely reproduces it. Also, in accordance with what hasbeen deduced from experimental data, around $E_F$ a strong reduction of thefree $NN$ cross section is found. In order to test the impact of samplingcentral collisions by multiplicity an event generator (HIPSE) was used. Weobtain that high multiplicity events are spread over a broad impact parameterrange, but it turns out that this has a small effect on the observable $R_E$and, thus, on ${\cal F}$ as well.

Aspects of the momentum dependence of the equation of state and of the residual $NN$ cross section, and their effects on nuclear stopping