English

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

Nuclear Theory 2017-08-03 v2

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^{16}O. The binding energies, radii, and spin-orbit splittings of the doubly magic nuclei 4^{4}He, 16^{16}O, and 40^{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.

Keywords

Cite

@article{arxiv.1705.01691,
  title  = {Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei},
  author = {Shihang Shen and Haozhao Liang and Jie Meng and Peter Ring and Shuangquan Zhang},
  journal= {arXiv preprint arXiv:1705.01691},
  year   = {2017}
}

Comments

22 pages, 13 figures