Symplectic symmetry and clustering in atomic nuclei

TL;DR

This paper introduces a symplectic-based shell-model approach to nuclear clustering, specifically applied to $^{20}$Ne, linking collective excitations with cluster states and demonstrating equivalence to existing algebraic models.

Contribution

It presents a novel symplectic framework for nuclear clustering that constructs the Pauli allowed space and connects it to semi-microscopic algebraic models.

Findings

Constructed the cluster state space for $^{20}$Ne

Established the relation to collective excitations

Demonstrated equivalence to algebraic cluster models

Abstract

A new symplectic-based shell-model approach to clustering in atomic nuclei is proposed by considering the simple system $^{20}$Ne. Its relation to the collective excitations of this system is mentioned as well. The construction of the Pauli allowed Hilbert space of the cluster states with maximal permutational symmetry is given for the $^{16}$O+$^{4}$He $\rightarrow$ $^{20}$Ne channel in the case of one-component many-particle nuclear system. The equivalence of the obtained cluster model space to that of the semi-microscopic algebraic cluster model is demonstrated.