Algebraic models for shell-like quarteting of nucleons

TL;DR

This paper introduces algebraic models to describe shell-like quarteting of nucleons, using SU(3) formalism, with applications to the $^{20}$Ne nucleus, offering both phenomenologic and semimicroscopic perspectives.

Contribution

It presents novel algebraic models for nucleon quarteting, explicitly treating constituents in the semimicroscopic approach and applying SU(3) formalism to nuclear spectra.

Findings

Successful modeling of $^{20}$Ne excitation spectrum

Comparison between phenomenologic and semimicroscopic approaches

Demonstration of SU(3) formalism effectiveness

Abstract

Algebraic models are proposed for the description of the shell-like quarteting of the nucleons both on the phenomenologic and on the semimicroscopic levels. In the previous one the quartet is considered as a structureless object, while in the latter one its constituents are treated explicitely. The excitation spectrum is generated by the SU(3) formalism in both cases. An application to the $^{20}$Ne nucleus is presented.