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The nonrelativistic limit of the relativistic point coupling model

A. Sulaksono·T. Buervenich·J. A. Maruhn·P. -G. Reinhard·W. Greiner
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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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A. Sulaksono, T. Buervenich, J. A. Maruhn, P. -G. Reinhard, W. Greiner. 2003-05-27. The nonrelativistic limit of the relativistic point coupling model. https://doi.org/10.1016/s0003-4916(03)00146-5

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