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Approximate path integral solution for a Dirac particle in a deformed Hulthén potential

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

The problem of a Dirac particle moving in a deformed Hulthén potential is solved in the framework of the path integral formalism. With the help of the Biedenharn transformation, the construction of a closed form for the Green’s function of the second-order Dirac equation is done by using a proper approximation to the centrifugal term and the Green’s function of the linear Dirac equation is calculated. The energy spectrum for the bound states is obtained from the poles of the Green’s function. A Dirac particle in the standard Hulthén potential (q = 1) and a Dirac hydrogen-like ion (q = 1 and a → ∞) are considered as particular cases.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université des Frères Mentouri, Route d’Ain El Bey, Constantine, Algeria

    A. Kadja, F. Benamira & L. Guechi

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  1. A. Kadja
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  2. F. Benamira
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  3. L. Guechi
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Correspondence to L. Guechi.

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Kadja, A., Benamira, F. & Guechi, L. Approximate path integral solution for a Dirac particle in a deformed Hulthén potential. Phys. Part. Nuclei Lett. 14, 435–443 (2017). https://doi.org/10.1134/S1547477117030104

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