Higher-rank discrete symmetries in the IBM. I Octahedral shapes: general Hamiltonian

TL;DR

This paper derives conditions within the interacting boson model for achieving octahedral symmetry in nuclear shapes, focusing on a general Hamiltonian with up to two-body interactions.

Contribution

It provides a theoretical framework to identify Hamiltonians that produce octahedral shapes in the interacting boson model.

Findings

Derived conditions for octahedral symmetry in the IBM.

Applicable to general Hamiltonians with up to two-body interactions.

Enhances understanding of shape symmetries in nuclear physics.

Abstract

In the context of the interacting boson model with $s$, $d$ and $g$ bosons, the conditions for obtaining an intrinsic shape with octahedral symmetry are derived for a general Hamiltonian with up to two-body interactions.