Variational calculations of asymmetric nuclear matter |
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Authors: | IE Lagaris VR Pandharipande |
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Institution: | Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA |
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Abstract: | We report on variational calculations of the energy E(ρ, β) of asymmetric nuclear matter having ? = ?n + ?p = 0.05 to 0.35 fm?3, and β = (?n ? ?p/g9 = 0 to 1. The nuclear h used in this work consists of a realistic two-nucleon interaction, called v14, that fits the available nucleon-nucleon scattering data up to 425 MeV, and a phenomenological three nucleon interaction adjusted to reproduce the empirical properties of symmetric nuclear matter. The variational many-body theory of symmetric nuclear matter is extended to treat matter with neutron excess. Numerical and analytic studies of the β-dependence of various contributions to the nuclear matter energy show that at ? < 0.35 fm?3 the β4 terms are very small, and that the interaction energy EI(ρ, β) defined as E(ρ, β) ? TF(ρ, β), where TF is the Fermi-gas energy, is well approximated by EI0(?) + β2EI2(ρ). The calculated symmetry energy at equilibrium density is 30 MeV and it increases from 15 to 38 MeV as ? increases from 0.05 to 0.35 fm?3. |
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