Energy spectra and quadrupole transition probabilities of 124-130Ba

TL;DR

This study investigates the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes using a transitional Interacting Boson Model and catastrophe theory, revealing shape phase transitions and symmetry characteristics.

Contribution

It introduces a novel approach combining affine SU(1,1) Lie Algebra and catastrophe theory within the Interacting Boson Model to analyze shape phase transitions in barium isotopes.

Findings

Reveals a mix of U(5) and SO(6) symmetries in the isotopic chain.

Theoretical predictions closely match experimental data near the SO(6) limit.

Identifies shape phase transition behavior between spherical and gamma unstable deformed shapes.

Abstract

In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional Interacting Boson Model Hamiltonian which is based on affine SU(1,1) Lie Algebra in the both IBM-1 and 2 versions and also the Catastrophe theory in combination with a coherent state formalism to generate energy surfaces and determine the exact values of control parameters. Our results for control parameters suggest a combination of U(5) and SO(6) dynamical symmetries in this isotopic chain. Also, the theoretical predictions can be rather well reproduce the experimental counterparts when the control parameter is approached to the SO(6) limit.