Abstract

In this paper, the non-degenerate $\gamma$ -unstable Bohr Hamiltonian is studied considering the deformation-dependent mass for the system. For the considered system, the kinetic term in the Hamiltonian is revisited. Then we consider Davidson potential as well as an angular-momentum-dependent term which removes degeneracies between the degenerate levels. To examine the results, some experimental data are reproduced and discussed in detail. The results are in good agreement with experimental data.

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