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New analytic solutions of the quadrupole collective Bohr hamiltonian areproposed, exploiting an approximate separation of the beta and gamma variablesto describe gamma-soft prolate axial rotors. The model potential is a sum oftwo terms: a beta-dependent term taken either with a Coulomb-like or aKratzer-like form, and a gamma-dependent term taken as an harmonic oscillator.In particular it is possible to give a one parameter paradigm for a beta-soft,gamma-soft axial rotor that can be applied, with a considerable agreement, tothe spectrum of 234U.Comment: (Dipartimento di Fisica ``G.Galilei'' and INFN, via Marzolo 8,  I-35131 Padova, Italy) 10 pages, 3 figure

New analytic solutions of the collective Bohr Hamiltonian for a -soft, -soft axial rotor