Level Statistics of SU(3)-SU(3)* Transitional Region

TL;DR

This paper investigates the energy level statistics in the SU(3)-SU(3)* transitional region of the IBM, revealing less regular dynamics compared to symmetry limits, with the O(6) symmetry indicating more regular behavior at the critical point.

Contribution

It applies the Abul-Magd distribution and MLE technique to analyze level statistics, providing new insights into the transitional dynamics of the IBM.

Findings

Less regular dynamics in the transitional region.

More regular behavior at the O(6) critical point.

Use of MLE for parameter estimation in level statistics.

Abstract

The level statistics of SU(3)-SU(3)* transitional region of IBM is described by the nearest neighbor spacing distribution statistics. The energy levels are determined by using the SO(6)representation of eigenstates. By employing the MLE technique, the parameter of Abul-Magd distribution is estimated where suggest less regular dynamics for transitional region in compare to dynamical symmetry limits. Also, the O(6)dynamical symmetry which is known as the critical point of this transitional region, describes a deviation to more regular dynamics.