Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model

Abstract

In the present work, we have obtained closed analytical expressions for eigenvalues and eigenfunctions of the Bohr Hamiltonian with the Manning-Rosen potential for {\gamma}-unstable nuclei as well as exactly separable rotational ones with {\gamma}=0. Some heavy nuclei with known \b{eta} and {\gamma} bandheads have been fitted by using two parameters in the {\nu}-unstable case and three parameters in the axially symmetric prolate deformed one. A good agreement with experimental data has been achieved.