T=0 effective interaction in 14N and 10B

TL;DR

This paper investigates effective interactions in 14N and 10B nuclei using RPA models, demonstrating that the Gogny interaction accurately reproduces experimental states by incorporating medium effects and density dependence.

Contribution

It shows that the Gogny effective interaction, with its density dependence, successfully models the 1+ and 3+ states in 14N and 10B, highlighting the importance of medium effects and three-body forces.

Findings

Gogny interaction reproduces 10B ground state as 3+

Bare Minnesota interaction fails to produce correct states

Medium effects improve agreement with experimental data

Abstract

We have calculated the 1+ and 3+, T=0 states in 14N and 10B. In a neutron-proton RPA model these two nuclei are described by the same set of equations. We first show that a bare Minnesota interaction leads to too weak binding in bothnuclei. Furthermore it does not produce a 3+ ground state in 10B as it should. Including medium effects as an exchange of phonons between the neutron-proton pair cures the desagreement in 14N but still gives a 1+ ground state in 10B with the 3+ as an excited state. The same study with a Gogny effective interaction reproduces nicely the properties of both nuclei: same agreement in 14N as previously when medium effeccts were introduced but now the 3+ in 10B becomes the ground state. This success suggests that through its density dependent term the Gogny interaction takes account of the presence of a three-body force which, in a shell model calculation, has been shown to be essential to give a 3+ ground state in 10B.