A Relativistic Point Coupling Model for Nuclear Structure Calculations

Abstract

A relativistic point coupling model is discussed focussing on a variety of aspects. In addition to the coupling using various bilinear Dirac invariants, derivative terms are also included to simulate finite-range effects.The formalism is presented for nuclear structure calculations of ground state properties of nuclei in the Hartree approximation. Different fitting strategies for the determination of the parameters have been applied and the quality of the fit obtainable in this model is discussed. The model is then compared more generally to other mean-field approaches both formally and in the context of applications to ground-state properties of known and superheavy nuclei. Naturalness and perspectives for further extensions such as an exact treatment of the exchange terms using a higher-order Fierz transformation are discussed briefly.