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Finite-temperature density-dependent HF calculation of nuclear matter with gogny interaction
Institution:1. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA;2. African Institute for Mathematical Sciences, Bagamoyo, Tanzania;3. Institute for Nuclear Theory, University of Washington, Seattle, WA 98195, USA;4. Department of Physics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal-131039, India;5. Department of Physics, The University of Hong Kong, Hong Kong
Abstract:A finite-temperature density-dependent Hartree-Fock method is formulated starting from a variational principle for the thermodynamic potential. Based on this method, we have carried out a nuclear-matter calculation using the Gogny D1 finite-range effective interaction. The equation of state and several other thermal properties of nuclear matter so obtained are found to be rather similar to those given by the Skyrme SkM1 interaction. The critical temperature and density for the liquid-gas phase transition of nuclear matter are found to be 15.1 MeV and 0.05 fm−3, respectively. The effect of the finite-temperature rearrangement potential is discussed
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