Density matrix expansion for the MDI interaction

Abstract

By assuming that the isospin- and momentum-dependent MDI interaction has a form similar to the Gogny-like effective two-body interaction with a Yukawa finite-range term and the momentum dependence only originates from the finite-range exchange interaction, we determine its parameters by comparing the predicted potential energy density functional in uniform nuclear matter with what has been usually given and used extensively in transport models for studying isospin effects in intermediate-energy heavy-ion collisions as well as in investigating the properties of hot asymmetric nuclear matter and neutron star matter. We then use the density matrix expansion to derive from the resulting finite-range exchange interaction an effective Skyrme-like zero-range interaction with density-dependent parameters. As an application, we study the transition density and pressure at the inner edge of neutron star crusts using the stability conditions derived from the linearized Vlasov equation for the neutron star matter.

11 pages, 6 figures, version to appear in Phys. Rev. C

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Cited by in corpus (21)

• Single-nucleon potential decomposition of the nuclear symmetry energy
• Constraining simultaneously nuclear symmetry energy and neutron-proton effective mass splitting with nucleus giant resonances from a dynamical approach
• Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Study of the core-crust transition in neutron stars with finite-range interactions: the dynamical method
• Influence of neutron-skin thickness on ${\pi }^{-}/{\pi }^{+}$ ratio in Pb+Pb collisions
• Revisit of the neutron/proton ratio puzzle in intermediate-energy heavy-ion collisions
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Nucleus giant resonances from an improved isospin-dependent Boltzmann-Uehling-Uhlenbeck transport approach
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method
• Nuclear constraints on non-Newtonian gravity at femtometer scale
• Nuclear matter properties at finite temperatures from effective interactions
• Effects of the U-boson on the inner edge of neutron star crusts
• Specific viscosity of neutron-rich nuclear matter from a relaxation time approach
• Disentangling effects of collision geometry and symmetry energy in U+U collisions
• Revisiting the isospin relaxation time in intermediate-energy heavy-ion collisions
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• On growth of spinodal instabilities in nuclear matter-II:asymmetric matter
• Investigating the possibility of extracting neutron-skin thickness in nuclei by their collisions at intermediate energies
• Non-Newtonian gravity in finite nuclei
• Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues