Treating Coulomb exchange contributions in relativistic mean field calculations: why and how

Abstract

The energy density functional (EDF) method is very widely used in nuclear physics, and among the various existing functionals those based on the relativistic Hartree (RH) approximation are very popular because the exchange contributions (Fock terms) are numerically rather onerous to calculate. Although it is possible to somehow 'mock up' the effects of meson-induced exchange terms by adjusting the meson-nucleon couplings, the lack of Coulomb exchange contributions hampers the accuracy of predictions. In this note, we show that the Coulomb exchange effects can be easily included with a good accuracy in a perturbative approach. Therefore, it would be desirable for future relativistic EDF models to incorporate Coulomb exchange effects, at least to some order of perturbation.

arXiv comment3 pages, 1 figure, Proceedings of the 20th Nuclear Physics Workshop "Marie & Pierre Curie", Kazimierz, Poland, 25-29 September, 2013

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Cited by in corpus (2)

• Application of Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation
• Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei