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Quasi-lattice model of nuclear matter
Affiliation:1. Programa de Engenharia Química, PEQ/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Caixa Postal 68.502, CEP 21941-914 Rio de Janeiro, Brazil;2. Departamento de Engenharia de Engenharia Química, Escola de Química, Universidade Federal do Janeiro, AV. Horácio Macedo, 30, CT-Bloco E, 21949-900 Rio de Janeiro, Brazil;1. Akita International University, Yuwa, Akita-city 010-1292, Japan;2. Frankfurt Institute for Advanced Studies, D-60438 Frankfurt am Main, Germany;3. Institut für Theoretishe Physik, Johann Wolfgang Goethe Universität, D-60438 Frankfurt am Main, Germany;4. GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany;1. Programa de Engenharia Química, PEQ/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Caixa Postal 68.502, CEP 21, 945-970, Rio de Janeiro, Brazil;2. Departamento de Engenharia de Engenharia Química, Escola de Química, Universidade Federal do Janeiro, AV. Horácio Macedo, 30, CT-Bloco E, 21949-900, Rio de Janeiro, Brazil;1. Univ. of La Serena, Fac. of Engineering, Dept. of Mech. Eng., Casilla 554, La Serena, Chile;2. Centro de Información Tecnológica, Monseñor Subercaseaux 667, La Serena, Chile;3. Univ. de Concepción, Fac. de Ciencias Físicas y Matemáticas, Casilla 160-C, Concepción, Chile
Abstract:Brueckner and others have applied an extension of the self-consistent method of Hartree-Fock to the determination of the properties of a hypothetical nuclear matter consisting of roughly equal numbers of neutrons and protons, the electrical forces between protons being “turned off”. Taking the nucleon-nucleon interaction potentials to be those of Gammel and Thaler, we have applied the well-known Wigner-Seitz method for crystal lattices to a quasi-lattice model of nuclear matter. This method gives the energy of the lowest single particle state as a function of the internucleonic separation. Good agreement is obtained with the experimental values for the nuclear density and binding energy per nucleon.
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