The equation of state (EOS) of asymmetric nuclear matter at zero and finite temperatures is constructed with the variational method, starting from the realistic nuclear Hamiltonian composed of the AV18 and UIX nuclear potentials. At zero temperature, the energy per nucleon of asymmetric nuclear matter is calculated in the two-body-cluster approximation with the three-body-force contribution treated somewhat phenomenologically so as to reproduce the empirical saturation conditions. At finite temperatures, the free energies per nucleon of asymmetric nuclear matter are obtained with an extension of the variational method by Schmidt and Pandharipande. Validity of the frozen-correlation approximation employed in this study is confirmed. The obtained free energies and related thermodynamic quantities for various densities, temperatures and proton fractions are essential ingredients in our project for constructing a new nuclear EOS table for supernova simulations.
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