Closed analytical solutions of the d-dimensional Schrödinger equation with deformed Woods-Saxon potential plus double ring-shaped potential

Abstract

By employing the Pekeris approximation, the D-dimensional Schrödinger equation is solved for the nuclear deformed Woods-Saxon potential plus double ring-shaped potential within the framework of the Asymptotic Iteration Method (AIM). The energy eingenvalues are given in a closed form and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric functions. Our general results reproduce many predictions obtained in the literature, using the Nikiforov-Uvarov method (NU) and the Improved Quantization Rule approach, particulary those derived by considering Woods-Saxon potential without deformation and/or without ring shape interaction.

17 pages, Latex, accepted in Zeitschrift für Naturforschung A (ZNA), 2015

References in corpus (2)

• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• Quasi-elastic scattering and fusion with a modified Woods-Saxon potential

Cited by in corpus (4)

• Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential
• Nuclear shape phase transition within a conjonction of γ-rigid and γ-stable collective behaviours in deformation dependent mass formalism
• Davydov-Chaban Hamiltonian with deformation-dependent mass term for γ = 30°
• Bohr Hamiltonian with Pöschl Teller potential in γ unstable and γ stable pictures