Variational calculations of realistic models of nuclear matter |
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Authors: | I.E. Lagaris V.R. Pandharipande |
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Affiliation: | Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA |
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Abstract: | We report variational calculations of nuclear matter with a semi-realistic Reid v12 model, and a realistic v14 model of the two-nucleon interaction operator. The v14 model fits the available nucleon-nucleon scattering data up to 425 MeV lab energy, and has relatively weak L2 and interactions in addition to the standard central, tensor and (). The L2 and interactions are treated semiperturbatively; their contribution reduces the overbinding of nuclear matter. However, the equilibrium kF = 1.7 fm?1 and E0 = ?17.5 MeV obtained with the v14 model are both higher than their empirical values kF = 1.33 fm? and E0 = ?16 MeV. We assume that the difference between the calculated and empirical E(ρ) is entirely due to three-nucleon interactions (TNI). The TNI contributions are phenomenologically added to the nuclear matter energy, and their parameters are adjusted to obtain the correct equilibrium energy, density and compressibility. The required TNI contributions appear to be of reasonable magnitude. |
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