The nonrelativistic limit of the relativistic point coupling model

Details The nonrelativistic limit of the relativistic point coupling model The nonrelativistic limit of the relativistic point coupling model

2003-05-27

arxiv.org/abs/nucl-th/0305078v1

Ann.Phys.308:354-370,2003

Physics

Nuclear Physics

Nuclear Theory

21 pages, latex, 1 eps figure. accepted for publication in annals of physics

Scientific paper

10.1016/S0003-4916(03)00146-5

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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