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

Shen, Shihang ; Liang, Haozhao ; Meng, Jie ; Ring, Peter ; Zhang, Shuangquan (2017)

CITATION: Shen, S., et al. 2017. Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei. Physical Review C, 96(1):1-19, doi:10.1103/PhysRevC.96.014316.

The original publication is available at https://journals.aps.org/prc

Article

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 for the example of the nucleus ¹⁶O. The binding energies, radii, and spin-orbit splittings of the doubly magic nuclei ⁴He, ¹⁶O, and ⁴⁰Ca are calculated and compared with the earlier RBHF calculated results in a fixed Dirac Woods-Saxon basis and other nonrelativistic ab initio calculated results based on pure two-body forces.

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