Asymmetric nuclear matter is studied in the frame of relativistic mean-field theory, using scalar-isoscalar sigma, vector-isoscalar omega meson together with their self-interactions, vector-isovector rho meson with its cross interaction with omega meson too, and scalar-isovector delta meson as degrees of freedom. The model is used to parametrize the nuclear matter property results calculated by more fundamental Dirac-Brueckner-Hartree-Fock theory, and thus to provide an effective Dirac-Brueckner-Hartree-Fock model applicable also to finite nuclei. Vector omega-rho cross interaction seems to be an useful degree of freedom for describing of the asymmetric nuclear matter, mostly due to its impact on density dependence of the symmetry energy.
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