From Exact to Partial Dynamical Symmetries: Lessons From the Interacting Boson Model

TL;DR

This paper explores partial dynamical symmetries within the interacting boson model, providing a method to construct Hamiltonians exhibiting these symmetries and demonstrating their relevance to nuclear spectroscopy phenomena.

Contribution

It introduces a systematic procedure for constructing Hamiltonians with partial dynamical symmetry using the algebraic structure of the interacting boson model.

Findings

PDS explains K-band splitting and gamma-band staggering

Higher-order terms are crucial for PDS construction

PDS provides insights into vibrational band anharmonicity

Abstract

We exploit the rich algebraic structure of the interacting boson model to explain the notion of partial dynamical symmetry (PDS), and present a procedure for constructing Hamiltonians with this property. We demonstrate the relevance of PDS to various topics in nuclear spectroscopy, including K-band splitting, odd-even staggering in the gamma-band and anharmonicity of excited vibrational bands. Special emphasis in this construction is paid to the role of higher-order terms.