An Uqp(u2) Model for Rotational Bands of Nuclei

TL;DR

This paper introduces a new rotational model based on a two-parameter quantum algebra to describe the rotational bands of certain superdeformed nuclei, providing better alignment with experimental data.

Contribution

The paper develops a novel $U_{qp}({ m u}_2)$ quantum algebra-based model for nuclear rotations, enhancing previous models with an additional parameter for improved accuracy.

Findings

Successfully describes experimental data for specific superdeformed nuclei

Demonstrates the importance of a second parameter in quantum algebra models

Shows improved fit over previous $U_q({ m su}_2)$ models

Abstract

A rotational model is developed from a new version of the two-parameter quantum algebra $U_{qp}({\rm u}_2)$. This model is applied to the description of some recent experimental data for the rotating superdeformed nuclei $^{192-194-196-198}{\rm Pb}$ and $^{192-194 }{\rm Hg}$. A comparison between the $U_{qp}({\rm u}_2)$ model presented here and the Raychev-Roussev-Smirnov model with $U_{q }({\rm su}_2)$ symmetry shows the relevance of the introduction of a second parameter of a ``quantum algebra'' type.