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Abstract: By assuming that the isospin- and momentum-dependent MDI interaction has aform similar to the Gogny-like effective two-body interaction with a Yukawafinite-range term and the momentum dependence only originates from thefinite-range exchange interaction, we determine its parameters by comparing thepredicted potential energy density functional in uniform nuclear matter withwhat has been usually given and used extensively in transport models forstudying isospin effects in intermediate-energy heavy-ion collisions as well asin investigating the properties of hot asymmetric nuclear matter and neutronstar matter. We then use the density matrix expansion to derive from theresulting finite-range exchange interaction an effective Skyrme-like zero-rangeinteraction with density-dependent parameters. As an application, we study thetransition density and pressure at the inner edge of neutron star crusts usingthe stability conditions derived from the linearized Vlasov equation for theneutron star matter.



Author: Jun Xu, Che Ming Ko

Source: https://arxiv.org/







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