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, theG-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.
Highlights
In recent years, microscopic theories of the nuclear manybody problem, starting with the bare nucleon-nucleon forces, showed considerable progress in describing the properties of light and even specific medium-heavy nuclei [1,2,3,4,5,6]
We find that the nuclear matter saturation point is reasonably described, much better than in a non-relativistic calculation with Bonn A [35], where the saturation energy is 23.55 MeV and the saturation density corresponds to kF = 1.85 fm−1
The relativistic Brueckner-Hartree-Fock (RBHF) equations have been solved for symmetric nuclear matter in the full Dirac space for potential Bonn A
Summary
Microscopic theories of the nuclear manybody problem, starting with the bare nucleon-nucleon forces, showed considerable progress in describing the properties of light and even specific medium-heavy nuclei [1,2,3,4,5,6]. Brueckner theory is only an approximation, but other methods, for instance variational methods, failed [28] In this situation, two new concepts have been introduced in the following years: (a) The concept of deriving the properties of finite nuclei only from bare two-nucleon forces has been given up and three-body forces have been introduced in various microscopic theories [29,30,31]. Over the years many groups worked in this direction [33,34,35,36,37,38,39,40,41] and solved the relativistic BHF problem in various approximations In this contribution we discuss the relativistic Brueckner-Hartree-Fock problem in detail and show results of new full solutions, where the positive energy states (PES) and the negative energy states (NES) of the relativistic HF problem are fully taken into account.
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