Unified description of 0+ states in a large class of nuclear collective models

TL;DR

This paper presents a unified, simple formula for 0+ state energies across various nuclear collective models, revealing regularities and connections between different theoretical frameworks.

Contribution

It introduces a universal energy formula for 0+ states applicable to multiple models and explores their relationships near critical points.

Findings

A single formula describes 0+ energies in flat-bottomed potentials.

The formula simplifies analysis across different IBA symmetries.

Connections between X(5) model predictions and IBA near criticality are established.

Abstract

A remarkably simple regularity in the energies of 0+ states in a broad class of collective models is discussed. A single formula for all 0+ states in flat-bottomed infinite potentials that depends only on the number of dimensions and a simpler expression applicable to all three IBA symmetries in the large boson number limit are presented. Finally, a connection between the energy expression for 0+ states given by the X(5) model and the predictions of the IBA near the critical point is explored.