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Landau parameters and pairing-on the shores of the nuclear Fermi sea
Authors:A.D. Jackson  E. Krotscheck  D.E. Meltzer  R.A. Smith
Affiliation:1. Department of Physics, State University of New York, Stony Brook, NY 11794, USA;2. Institute for Theoretical Physics, University of Groningen, Groningen, The Netherlands;3. Department of Physics, State University of New York, Stony Brook, NY 11794, USA;4. Department of Physics, University of Illinois, Urbana, IL 61801, USA;5. Department of Physics, State University of New York, Stony Brook, NY 11794, USA;6. Department of Physics, Texas A&M University, College Station, TX 77843, USA
Abstract:We present a systematic scheme for calculating the ground-state energy, single-particle energies and the effective mass, Fermi-liquid parameters, and pairing matrix elements for nuclear and neutron matter with realistic state-dependent interactions. The method retains much of the clarity of more conventional treatments while permitting reliable numerical calculations. Deficiencies in the central Jastrow correlation operator ansatz are largely overcome by low-order perturbation theory in the correlated basis generated by the Jastrow operator. Calculations of these quantities are presented for the Reid and Bethe-Johnson interactions. An analysis of the results emphasizes the importance of state-dependent correlations arising directly from the interaction or indirectly through many-body effects. The numerical results provide insight into the actual structure of the self-energy operator in nuclear and neutron matter and into the usefulness of sum rules for the quasiparticle interaction and the Landau parameters.
Keywords:Nuclear reactions  Nuclear structure
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