Relativistic Brueckner-Hartree-Fock Theory in Infinite Nuclear Matter

Abstract

On the way of a microscopic derivation of covariant density functionals, the first complete solution of the relativistic Brueckner-Hartree-Fock (RBHF) equations is presented for symmetric nuclear matter. In most of the earlier investigations, the $G$-matrix is calculated only in the space of positive energy solutions. On the other side, for the solution of the relativistic Hartree-Fock (RHF) equations, also the elements of this matrix connecting positive and negative energy solutions are required. So far, in the literature, these matrix elements are derived in various approximations. We discuss solutions of the Thompson equation for the full Dirac space and compare the resulting equation of state with those of earlier attempts in this direction.

8 pages, 2 figures, to appear in HINP 6th International Workshop; Perspectives on Nuclear Physics: from Fundamentals to Applications (online, May 14-16, 2021). arXiv admin note: text overlap with arXiv:2103.12960