# Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei

## TL;DR

This paper develops a fully self-consistent relativistic ab initio method using the Bonn potential to accurately compute ground state properties of finite nuclei without free parameters or three-body forces.

## Contribution

It introduces a self-consistent relativistic Brueckner-Hartree-Fock approach for finite nuclei starting from the Bonn potential, improving upon previous fixed-basis and non-relativistic methods.

## Key findings

- Accurately calculates binding energies, radii, and spin-orbit splittings for selected nuclei.
- Demonstrates convergence properties of the RBHF equations for finite nuclei.
- Provides results consistent with previous RBHF and non-relativistic calculations.

## Abstract

Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a relativistic ab initio calculation of the ground state properties of finite nuclei without any free parameters and without three-body forces. The convergence properties for the solutions of these coupled equations are discussed in detail at the example of the nucleus $^{16}$O. The binding energies, radii, and spin-orbit splittings of the doubly magic nuclei $^{4}$He, $^{16}$O, and $^{40}$Ca are calculated and compared with the earlier RBHF calculated results in a fixed Dirac Woods-Saxon basis and other non-relativistic ab initio calculated results based on pure two-body forces.