Gamma-soft Analog of the Confined Beta-soft Rotor Model

Abstract

A gamma-soft analog of the confined beta-soft (CBS) rotor model is developed, by using a gamma-independent displaced infinite well beta-potential in the Bohr Hamiltonian, for which exact separation of variables is possible. Level schemes interpolating between the E(5) critical point symmetry (with R(4/2)=E(4)/E(2)= 2.20) and the O(5) gamma-soft rotor (with R(4/2)=2.50) are obtained, exhibiting a crossover of excited 0+ bandheads which leads to agreement with the general trends of first excited 0+ states in this region and is observed experimentally in 128-Xe and 130-Xe.

arXiv comment10 pages, LaTeX, including 7 eps figures

References in corpus (6)

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• Sequence of Potentials Lying Between the U(5) and X(5) Symmetries
• Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries
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Cited by in corpus (5)

• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• The emergent dynamical symmetry at the triple point of nuclear deformations
• Structure of the doublet bands in doubly odd nuclei: The case of ${}^{128}Cs$
• Understanding Xe isotopes near $A=130$ through the prolate-oblate shape phase transition