  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.
