Analytically solvable potentials for γ-unstable nuclei
classification
⚛️ nucl-th
keywords
unstablealgebraicanalyticalanalyticallybohrcalculatedcasesclosed
read the original abstract
An analytical solution of the collective Bohr equation with a Coulomb-like and a Kratzer-like $\gamma-$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)$\times$SO(5) algebraic structure is discussed.
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