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Generalized Dirac Equation with Induced Energy-Dependent Potential via Simple Similarity Transformation and Asymptotic Iteration Methods

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Abstract

This study shows how precise simple analytical solutions for the generalized Dirac equation with repulsive vector and attractive energy-dependent Lorentz scalar potentials, position-dependent mass potential, and a tensor interaction term can be obtained within the framework of both similarity transformation and the asymptotic iteration methods. These methods yield a significant improvement over existing approaches and provide more plausible and applicable ways in explaining the pseudospin symmetry’s breaking mechanism in nuclei.

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Acknowledgement

This project was supported by the Research Center, College of Science, King Saud University.

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Authors and Affiliations

  1. Physics and Astronomy Department, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    T. Barakat & H. A. Alhendi

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  1. T. Barakat
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  2. H. A. Alhendi
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Correspondence to T. Barakat.

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Barakat, T., Alhendi, H.A. Generalized Dirac Equation with Induced Energy-Dependent Potential via Simple Similarity Transformation and Asymptotic Iteration Methods. Found Phys 43, 1171–1181 (2013). https://doi.org/10.1007/s10701-013-9738-0

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  • DOI: https://doi.org/10.1007/s10701-013-9738-0

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