γ-soft analog of the confined β-soft rotor model

A {gamma}-soft analog of the confined {beta}-soft 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{sub 4/2}=E(4{sub 1}{sup +})/E(2{sub 1}{sup +})=2.20) and the O(5) {gamma}-soft rotor (with R{sub 4/2}=2.50) are obtained; these exhibit a crossover of excited 0{sup +} bandheads that lead to agreement with the general trends of 0{sub 2}{sup +} states in this region and is observed experimentally in {sup 128,130}Xe.