An improved approximation scheme for the centrifugal term and the Hulth¨¦n potential

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• 作者：S. M. Ikhdair
• 关键词：PACS 03.65.Ge Solutions of wave equations ; bound states ; 12.39.Jh Nonrelativistic quark model
• 刊名：The European Physical Journal A - Hadrons and Nuclei
• 出版年：2009
• 出版时间：March, 2009
• 年：2009
• 卷：39
• 期：3
• 页码：307-314
• 全文大小：428.0 KB

文摘

We present a new approximation scheme for the centrifugal term to solve the Schr?dinger equation with the Hulth¨¦n potential for any arbitrary l -state by means of a mathematical Nikiforov-Uvarov (NU) method. We obtain the bound-state energy eigenvalues and the normalized corresponding eigenfunctions expressed in terms of the Jacobi polynomials or hypergeometric functions for a particle exposed to this potential field. Our numerical results of the energy eigenvalues are found to be in high agreement with those results obtained by using the program based on a numerical integration procedure. The s -wave (l = 0analytic solution for the binding energies and eigenfunctions of a particle are also calculated. The physical meaning of the approximate analytical solution is discussed. The present approximation scheme is systematic and accurate.