The nonrelativistic limit of the relativistic point coupling model. (English) Zbl 1037.81107
Summary: 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.
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 81V35 | Nuclear physics |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
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