Brueckner-Hartree-Fock and its renormalized calculations for finite nuclei

TL;DR

This paper applies self-consistent Brueckner-Hartree-Fock and renormalized methods to finite nuclei, achieving accurate ground-state energies and radii, and benchmarking against other ab initio approaches.

Contribution

It introduces a self-consistent RBHF approach for finite nuclei and compares its results with other ab initio methods, demonstrating improved single-particle spectra.

Findings

Good agreement of BHF and RBHF with other ab initio methods

RBHF yields more reasonable single-particle spectra and radii

Successful calculation of ground-state energies and radii

Abstract

We have performed self-consistent Brueckner-Hartree-Fock (BHF) and its renormalized theory to the structure calculations of finite nuclei. The $G$-matrix is calculated within the BHF basis, and the exact Pauli exclusion operator is determined by the BHF spectrum. Self-consistent occupation probabilities are included in the renormalized Brueckner-Hartree-Fock (RBHF). Various systematics and convergences are studies. Good results are obtained for the ground-state energy and radius. RBHF can give a more reasonable single-particle spectrum and radius. We present a first benchmark calculation with other {\it ab initio} methods using the same effective Hamiltonian. We find that the BHF and RBHF results are in good agreement with other $\it{ab}$ $\it{initio}$ methods.