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Raising and lowering operators for the Dirac-Woods-Saxon potential in the presence of spin and pseudospin symmetry

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Abstract

In the case of spin symmetry and pseudospin symmetry, raising and lowering operators and the bound state solutions of the Dirac equation for the spherically Woods-Saxon potential are presented within the context of Supersymmetric Quantum Mechanics. The energy equation and corresponding two-component spinors of the two Dirac particles are obtained in the closed form for arbitrary spin-orbit quantum number k by using the Pekeris approximation. The Hamiltonian hierarchy method and the shape invariance property are used in the calculations.

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Authors and Affiliations

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

    H. Feizi, M. R. Shojaei & A. A. Rajabi

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  1. H. Feizi
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  2. M. R. Shojaei
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  3. A. A. Rajabi
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Correspondence to H. Feizi.

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Feizi, H., Shojaei, M.R. & Rajabi, A.A. Raising and lowering operators for the Dirac-Woods-Saxon potential in the presence of spin and pseudospin symmetry. Eur. Phys. J. Plus 127, 41 (2012). https://doi.org/10.1140/epjp/i2012-12041-y

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  • DOI: https://doi.org/10.1140/epjp/i2012-12041-y

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