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In the relativistic impulse approximation (RIA), we study symmetry potentialsand in-medium nucleon-nucleon (NN) cross sections with the Nambu-Jona-Lasinio(NJL) model that features chiral symmetry. The chiral symmetry that plays afundamental role in the nonperturbative physics in the strong interaction isanticipated to add restrictive effects on the symmetry potentials and in-mediumNN cross sections. For comparison, we also perform the study with the usualrelativistic mean-field (RMF) model. The numerical results with the NJL and RMFmodels are similar at saturation density and below, since a priori fit was madeto saturation properties. With the increase of nuclear density, the chiralsymmetry starts to be restored partially in the NJL model, resulting in theexplicit fall of the scalar density. In a large energy span, the symmetrypotential acquires a significant rise for the partial restoration of the chiralsymmetry, compared to the one with the RMF model. It is found that thein-medium NN cross sections in the RIA with the NJL and RMF models bothincrease with the density in the energy region interested in this study,whereas those with the NJL model increase sharply as long as a clear chiralsymmetry restoration takes place. The different tendency of observables indensity can be transmitted to the different energy dependence in the RIA. TheNJL model is shown to have characteristic energy-dependent symmetry potentialsand NN cross sections beyond saturation point, apart from the RMF models.

Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation