Global correlations between electromagnetic and spectroscopic properties of collective $2^+_1$ and $2^+_2$ states

TL;DR

This paper analytically establishes global correlations between electromagnetic properties of nuclear $2^+_1$ and $2^+_2$ states using two models, revealing their similar collective descriptions and robustness across different nuclei.

Contribution

It introduces a unified analytical framework linking TRM and AHV models to describe electromagnetic properties of low-lying nuclear states.

Findings

Both models can roughly describe experimental quadrupole data.

A robust orthogonal transformation links the AHV and TRM bases.

The models suggest similar collective features in nuclear low-lying states.

Abstract

By using the general triaxial rotor model (TRM) and the phonon-configuration mixing scheme within an anharmonic-vibrator(AHV) framework, a series of global correlations between electromagnetic properties of nuclear $2^+_1$ and $2^+_2$ states are analytically established. The correlations from both models can roughly describe the experimental data involving quadrupole collectivity with few exceptions. Furthermore, there seems to be a robust orthogonal transformation between the AHV and TRM bases for realistic nuclear systems, suggesting that the two models may in fact be describing the collective features of nuclear low-lying states in similar model spaces.