The nonrelativistic limit of the relativistic point coupling model

A. Sulaksono, T. Bürvenich, J. A. Maruhn, P. G. Reinhard, W. Greiner

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27 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)354-370
Number of pages17
JournalAnnals of Physics
Issue number1
Publication statusPublished - Nov 2003


  • Nonrelativistic limit
  • Relativistic mean-field model
  • Skyrme-Hartree-Fock model


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