SU(3)-guided Realistic Nucleon-nucleon Interactions for Large-scale Calculations

TL;DR

This paper simplifies nucleon-nucleon interactions by focusing on key SU(3) components, enabling accurate large-scale nuclear structure calculations with reduced complexity.

Contribution

It introduces an SU(3)-guided approach that identifies essential interaction components, simplifying realistic interactions for efficient nuclear structure modeling.

Findings

Negligible SU(3) components allow for simplified interactions.

Reduced interactions yield results comparable to full ab initio calculations.

Effective interactions show universal features linked to nuclear phenomena.

Abstract

We examine nucleon-nucleon realistic interactions, based on their SU(3) decomposition to SU(3)-symmetric components. We find that many of these interaction components are negligible, which, in turn, allows us to identify a subset of physically relevant components that are sufficient to describe the structure of low-lying states in $^{12}$C and related observables, such as excitation energies, electric quadrupole transitions and rms radii. We find that paring the interaction down to half of the SU(3)-symmetric components or more yields results that practically coincide with the corresponding ab initio calculations with the full interaction. In addition, we show that while various realistic interactions differ in their SU(3) decomposition, their renormalized effective counterparts exhibit a striking similarity and composition that can be linked to dominant nuclear features such as deformation, pairing, clustering, and spin-orbit effect.