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Solutions of the Two-Body Salpeter Equation Under an Exponential Potential for Any l State

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Abstract

The two-body Salpeter equation is analytically solved for an interaction of exponential form. We see that after using appropriate approximations, the problem appears as the well-known Morse potential whose solutions are already known from the supersymmetry quantum mechanics. The results are useful in some branches of physics and in particular in dealing with heavy quark systems. The solutions are reported for any l.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    S. Zarrinkamar, A. A. Rajabi & H. Hassanabadi

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  1. S. Zarrinkamar
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  2. A. A. Rajabi
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  3. H. Hassanabadi
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Correspondence to S. Zarrinkamar.

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Zarrinkamar, S., Rajabi, A.A. & Hassanabadi, H. Solutions of the Two-Body Salpeter Equation Under an Exponential Potential for Any l State. Few-Body Syst 52, 165–170 (2012). https://doi.org/10.1007/s00601-011-0272-3

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