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Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential

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Abstract.

Recently, it has been shown that the generalized symmetric Woods-Saxon potential energy, in which surface interaction terms are taken into account, describes the physical processes better than the standard form. Therefore in this study, we investigate the scattering of Klein-Gordon particles in the presence of both generalized symmetric Woods-Saxon vector and scalar potential. In one spatial dimension we obtain the solutions in terms of hypergeometric functions for spin symmetric or pseudo-spin symmetric cases. Finally, we plot transmission and reflection probabilities for incident particles with negative and positive energy for some critical arbitrary parameters and discuss the correlations for both cases.

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Authors and Affiliations

  1. Department of Physics, Akdeniz University, 07058, Antalya, Turkey

    B. C. Lütfüoğlu

  2. Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czech Republic

    J. Lipovský & J. Kříž

Authors
  1. B. C. Lütfüoğlu
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  2. J. Lipovský
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  3. J. Kříž
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Correspondence to B. C. Lütfüoğlu.

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Lütfüoğlu, B.C., Lipovský, J. & Kříž, J. Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential. Eur. Phys. J. Plus 133, 17 (2018). https://doi.org/10.1140/epjp/i2018-11852-0

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