Closed analytical solutions of the d-dimensional Schr\"odinger equation with deformed Woods-Saxon potential plus double ring-shaped potential
Nuclear Theory
2016-05-30 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
By employing the Pekeris approximation, the D-dimensional Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1511.00484,
title = {Closed analytical solutions of the d-dimensional Schr\"odinger equation with deformed Woods-Saxon potential plus double ring-shaped potential},
author = {M. Chabab and A. El Batoul and M. Oulne},
journal= {arXiv preprint arXiv:1511.00484},
year = {2016}
}
Comments
17 pages, Latex, accepted in Zeitschrift f\"ur Naturforschung A (ZNA), 2015