Momentum dependence of single particle potential in Dirac Brueckner approach

Abstract

The momentum dependence of the empirical scalar and vector potentials needed for describing relativistic heavy-ion collisions at 1 GeV/nucleon is compared with that derived from self-consistent Dirac-Brueckner calculations using the Bonn-A potential. Our calculated scalar and vector potentials exhibit a weak momentum dependence and their magnitudes decrease with nucleon momentum, in close similarity with the momentum dependence required by the empirical potentials. The effects of explicit momentum dependence on the properties of equilibrium nuclear matter are found to be small.

Asymmetric nuclear matter in the relativistic mean-field approach with vector cross interaction

“…The mean-field parametrizations were obtained by calculation using three different DBHF results for nuclear matter as initial data -results of Li, Brockmann and Machleidt [17], results of Lee, Kuo, Li and Brown [18,19] and finally calculations of Huber, Weber and Weigel [20,21].…”

“…Not only saturation properties, but in addition even the empirical value of the symmetry energy at the saturation density were reproduced satisfactorily. Isoscalar meson potentials for symmetric matter authors calculated in [19].…”

“…For better description of asymmetry behavior of matter it is of course profitable to use not only symmetric and neutron case, but also other nonsymmetric cases with partial fraction of protons, as was calculated with DBHF theory by Lee et al [18,19]. Results of the fit with the same degrees of freedom as were in the previous case, performed for binding energy per nucleon for several asymmetries as well as for symmetric matter scalar and vector potentials, are listed in Table II ( [18,19], with parametrizations in Table II. density region.…”

Relativistic mean field model with generalized derivative nucleon-meson couplings

“…[49]. It has the property that V optτ rises linearly with the energy E of the nucleon if the self energies are energy…”

“…The momentum dependence of the interaction also becomes important in the description of heavy-ion collisions. Several parametrizations for a parametric momentum dependence of the potentials have been developed in different approaches [48,49,50,51,52,53].…”