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The nonrelativistic limit of the relativistic point coupling model

2003/05/27 by A. Sulaksono, T. Buervenich, T. Bürvenich +5 · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #High-pressure geophysics and materials #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1016/s0003-4916(03)00146-5

published as Ann.Phys.308:354-370,2003 · 21 pages, latex, 1 eps figure. accepted for publication in annals of physics

arxiv created 2003/05/27 · openalex publication_date 2003/07/31 · arxiv updated 2010/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We relate the relativistic finite range mean-field model (RMF-FR) to the point-coupling variant and compare the nonlinear density dependence. From this, the effective Hamiltonian of the nonlinear point-coupling model in the nonrelativistic limit is derived. Different from the nonrelativistic models, the nonlinearity in the relativistic models automatically yields contributions in the form of a weak density dependence not only in the central potential but also in the spin-orbit potential. The central potential affects the bulk and surface properties while the spin-orbit potential is crucial for the shell structure of finite nuclei. A modification in the Skyrme-Hartree-Fock model with a density-dependent spin-orbit potential inspired by the point-coupling model is suggested.

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