- Conference date: 19-22 April 2004
- Location: Morelos (Mexico)
Iachello’s X(5) solution for the Bohr‐Hamiltonian for axially‐symmetric prolate nuclei is generalized to the transition path between X(5) and the rigid rotor limit using infinite square‐well potentials in the quadrupole deformation parameter β confined within boundaries at β M > β m ⩾ 0. Analytical solutions in terms of Bessel‐functions of first and second kind are derived. They account well for the energies and E2 transition rates of K = 0 bands in transitional even‐even nuclei with structural signature . The relative energies, , for nuclei in the A ≈ 160 mass region correlate to the R 4/2 values. The evolutionary trajectory of R 0/2 as a function of R 4/2 is predicted in a parameter‐free way and the prediction agrees with the observations in this mass region within about 10%.
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