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.

arXiv comment8 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

References in corpus (10)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Quantum Monte Carlo methods for nuclear physics
• Coupled-cluster computations of atomic nuclei
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Three-body forces: From cold atoms to nuclei
• Density-Dependent Relativistic Hartree-Fock Approach
• Towards an ab initio covariant density functional for nuclear structure
• Correlations and the Dirac Structure of the Nucleon Self-Energy
• Equation of State of Nuclear Matter at high baryon density
• Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction