Nuclear Saturation and Two-Body Forces: Self-Consistent Solutions and the Effects of the Exclusion Principle

作者: K. A. Brueckner , W. Wada

DOI: 10.1103/PHYSREV.103.1008

关键词: Nuclear structureVariational methodPauli exclusion principlePhysicsEffective mass (solid-state physics)Hartree–Fock methodNuclear matterQuantum mechanicsVariational principleNuclear reaction

摘要: The equilibrium properties of uniform nuclear matter have been studied in previous papers by using a self-consistency method to determine two-body reaction matrices and the average effective one-particle potential which they generate. In this paper is simply illustrated some explicit examples. An investigation also made previously neglected effects exclusion principle on transitions intermediate states. A variational expression used for matrix, utilizing as trial function wave exact if effect neglected. Two-body potentials are simulate actual forces, i.e., square wells with repulsive core 0.35 \ensuremath{\Elzxh}/\ensuremath{\mu}c, range 1.15 depth 98.3 Mev, acting $s$-states only. It found that mass values 0.5 $M$ 0.6 $M$, matrix appreciably altered, particularly low relative momentum. requirements self-consistency, however, almost entirely compensate change so at normal density approximation final result binding energy precisely same obtained when reasons simple discussed.

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