Relativistic Effects in 3-Nucleon Forces for Nuclear Matter and Finite Nuclei

TL;DR

This paper investigates the impact of relativistic three-nucleon forces on nuclear matter and finite nuclei using a Brueckner Hartree Fock approach, emphasizing the role of Dirac spinor components and consistent particle spectrum treatment.

Contribution

It introduces a relativistic 3N force based on Dirac spinor enhancements into Brueckner calculations, improving the modeling of nuclear saturation and finite nuclei properties.

Findings

The 3N force reproduces empirical nuclear matter saturation.

Application to $^{16}$O and $^{40}$Ca shows improved nuclear structure predictions.

Consistent particle spectrum treatment is crucial for accurate results.

Abstract

In order to simulate the relativistic effects of the Dirac Brueckner Hartree Fock approach for finite nuclei the part of the Urbana 3 nucleon (3N) force is considered, which represents the enhancement of the small components of the Dirac spinors for the nucleons in the nuclear medium. This 3N force is included in a Brueckner Hartree Fock calculation with rearrangement terms using a realistic model for the NN interaction. The strength of the 3N force is adjusted to reproduce the empirical saturation point of nuclear matter and then used in corresponding studies of the closed shell nuclei $^{16}$O and $^{40}$Ca. Special attention is paid to a consistent treatment of the spectrum of particle states in the NN propagator of the Bethe-Goldstone equation.