Solution of the bohr hamiltonian for the kratzer potential in the γ~unstable region

Nuclei having structures around the critical point are the main subject of the nuclear structure physicists in recent years. In this thesis, the energy eigenvalue equation of the γ-unstable nuclei is obtained from the solution of the collective Bohr Hamiltonian with the Kratzer potential by using the Nikiforov-Uvarov method. It is known experimentally that nuclei with mass numbers A =100−150 exhibit structures in the γ-unstable region between the U(5) and O(6) limits. For this reason, Pd isotopes with mass numbers ranging from 102 to 116 were selected. Then the resulting equation was tested to find the experimental excitation energy spectra of Pd isotopes. It was found a good agreement between theory and experiment.