Bohr Hamiltonian with Eckart potential for triaxial nuclei

摘要

In this paper, the Bohr Hamiltonian has been solved using the Eckart potential for the beta-part and a harmonic oscillator for the gamma-part of the Hamiltonian. The approximate separation of the variables has been possible by choosing the convenient form for the potential V (beta,gamma). Using the Nikiforov-Uvarov method the eigenvalues and eigenfunctions of the eigenequation for the beta-part have been derived. An expression for the total energy of the levels has been represented.