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arXiv · 1511.00484

Closed analytical solutions of the d-dimensional Schr\"odinger equation with deformed Woods-Saxon potential plus double ring-shaped potential

M. Chabab·A. El Batoul·M. Oulne
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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.

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M. Chabab, A. El Batoul, M. Oulne. 2015-11-02. Closed analytical solutions of the d-dimensional Schr\"odinger equation with deformed Woods-Saxon potential plus double ring-shaped potential. https://doi.org/10.1515/zna-2015-0136

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