VIBRATIONAL-ROTATIONAL ANALYSIS OF SUPERSINGULAR PLUS QUADRATIC A R(4)+R(2) POTENTIAL/

Most work on supersingular potentials has focused on the study of the ground state. In this paper, a global analysis of the ground and excit ed states for the successive values of the orbital angular momentum of the supersingular plus quadratic potential is carried out, making use of centrifugal plus quadratic potential eigenfunction bases. First, t he radially nodeless states are variationally analysed for each value of the orbital angular momentum using the corresponding functions of t he bases; the output includes the centrifugal and frequency parameters of the auxiliary potentials and their eigenfunction bases. In the sec ond stage, these bases are used to construct the matrix representation of the Hamiltonian of the system, and from its diagonalization the en ergy eigenvalues and eigenvectors of the successive states are obtaine d. The systematics of the accuracy and convergence of the overall resu lts are discussed with emphasis on the dependence on the intensity of the supersingular part of the potential and on the orbital angular mom entum.