Isospin-Dependent Phenomenological Nucleon Effective Interactions

Based on Gogny-Hartree-Fock approach, we systematically investigatedthe properties of infinite nuclear matter, including the equation of state,spin-isospin channel, single nucleon potential, symmetry energy, symmetrypotential, pressure, incompressibility, effective mass, the slope parameterof symmetry energy, the speed of sound in nuclear matter, pairing gap,ferromagnetic transition and liquid-gas transition. Meanwhile, weproposed new sets of Gogny parameters. We also added effectivethree-body force into the Gogny interaction in order to improve it and thusgain a better understanding of nuclear matter. Besides, we propose a wayso that symmetry energy and its density slope can be decomposed intoterms of single nucleon potential. By using three non-relativisticphenomenalogical models, namely, MDI model, Skyrme-Hartree-Fockmodel and Gogny-Hartree-Fock model which are also briefly introduced inthis thesis, we investigated the momentum or density dependence of eachdecomposed terms of symmetry energy and its density slope. Our resultsindicate that the contribution of second order symmetry potential to singlenucleon potential and density slope might not be casually neglected.