Eur. Phys. J. A (2007) 31: 29-42
https://doi.org/10.1140/epja/i2006-10165-x

Regular Article - Nuclear Structure and Reactions

Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes

Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, D-72076, Tübingen, Germany

^* e-mail: eric.van-dalen@uni-tuebingen.de

Received: 10 October 2006
Accepted: 18 December 2006
Published online: 25 January 2007

Abstract

We present Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter which are based on improved approximations schemes. The potential matrix elements have been adapted for isospin asymmetric nuclear matter in order to account for the proton-neutron mass splitting in a more consistent way. The proton properties are particularly sensitive to this adaption and its consequences, whereas the neutron properties remains almost unaffected in neutron-rich matter. Although at present full Brueckner calculations are still too complex to apply to finite nuclei, these relativistic Brueckner results can be used as a guidance to construct a density-dependent relativistic mean-field theory, which can be applied to finite nuclei. It is found that an accurate reproduction of the Dirac-Brueckner-Hartree-Fock equation of state requires a renormalization of these coupling functions.