The solution of bohr hamiltonian for γ = 30° with kratzer potential

In this study, for the γ-solid solution of Bohr Hamiltonian, a new model for γ = 30° was derived using the Kratzer potential at the part related to the β variable. The Model was named as Z(4)-Kratzer. Energy eigenvalues and wave functions were obtained using an analytical method developed by Nikiforov and Uvarov. The energy spectra of the obtained Z(4)-K model and the present experimental data of 74,76Ge 110-114Ru, 128-132Xe, 192-198Pt, 192Os nucleus were compared with Z(4), Z(5), Z(4)-D ve Z(4)-S model estimates. 76Ge, 112Ru, 192-198Pt, 128,132Xe, 192Os nucleus overlap with current experimental data results, 74Ge, 114Ru nucleus compatible with the present experimental data and 114Ru, 130Xe overlap at the lower spin levels. When Z(4)-K model estimates are compared with Z(4)-D model, the experimental result of 76Ge, 114Ru, 132Xe nucleus was explained better with Z(4)-K model and the current experimental results of 112Ru, 192-198Pt, 192Os nucleus were compatible with both models. When Z(4)-K model estimates are compared with Z(4)-S model, it was observed that the present experimental data of the; 192-196Pt, 128-132Xe nucleus are more compatible with the Z(4)-K model estimates.