Nilsson parameters kappa and mu in the relativistic mean field models

Abstract

Nilsson parameters kappa and mu have been studied in the framework of the relativistic mean field (RMF) models. They are used to investigate the reason that the RMF models give a relatively well prediction of the spin-orbit splitting, but fail to reproduce the placement of the states with different orbital angular momenta. Instead of the relatively small effective mass M*, the independence of M* from the angular momentum l is found to be the reason.