Abstract
Z(4)-Sextic is an analytical solution given for the Bohr Hamiltonian with a sextic potential for the β variable and γ fixed to 30°. The separation of the β shape variable from the Euler angles is exactly achieved. Moreover, for the ground and β bands the eigenvalue problem is exactly solved, while an approximation is used for the γ band. The energies and E2 transitions, up to scale factors, depend on a single free parameter by whose variation allows the study of a shape phase transition from an approximate spherical shape to a deformed one. In the critical point and in origin, parameter free solutions are obtained.
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