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Analytical Solution of Relativistic Few-Body Bound Systems with a Generalized Yukawa Potential

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Abstract

We have investigated in this paper the few-body bound systems in a simple semi-relativistic scheme. For this aim, we introduced a spin independent relativistic description for a few-identical body system by presenting the analytical solution of few-particle Klein–Gordon equation. Performing calculations in D-dimensional configuration on the basis of the hypercentral approach, we reduced the few-body Klein–Gordon equation to a Schrödinger-like form. This equation is solved by using the Nikiforov–Uvarov method, through which the energy equations and eigenfunctions for a few-body bound system are obtained. We used the spin- and isospin-independent generalized Yukawa potential in our calculations, and the dependence of the few-body binding energies on the potential parameters has been investigated.

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Authors and Affiliations

  1. Physics Department, University of Shahrood, P.O. Box 3619995161-316, Shahrood, Iran

    M. Aslanzadeh & A. A. Rajabi

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  1. M. Aslanzadeh
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  2. A. A. Rajabi
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Correspondence to M. Aslanzadeh.

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Aslanzadeh, M., Rajabi, A.A. Analytical Solution of Relativistic Few-Body Bound Systems with a Generalized Yukawa Potential. Few-Body Syst 57, 145–154 (2016). https://doi.org/10.1007/s00601-015-1035-3

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  • DOI: https://doi.org/10.1007/s00601-015-1035-3

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