Analytically solvable potentials for γ-unstable nuclei
Lorenzo Fortunato, Andrea Vitturi
Abstract
An analytical solution of the collective Bohr equation with a Coulomb-like and a Kratzer-like γ-unstable potential in quadrupole deformation space is presented. Eigenvalues and eigenfunctions are given in closed form and transition rates are calculated for the two cases. The corresponding SO(2,1)×SO(5) algebraic structure is discussed.
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