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Calculation of relativistic nucleon-nucleon potentials in three dimensions

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Abstract.

In this paper, we have applied a three-dimensional approach for the calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is formulated as a function of relative two-nucleon momentum vectors, which leads to a three-dimensional integral equation. The integral equation is solved by the iteration method, and the matrix elements of the relativistic potential are calculated from non-relativistic ones. The spin-independent Malfliet-Tjon potential is employed in the numerical calculations, and the numerical tests indicate that the two-nucleon observables calculated by the relativistic potential are preserved with high accuracy.

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Authors and Affiliations

  1. Institute of Nuclear and Particle Physics and Department of Physics and Astronomy, Ohio University, 45701, Athens, OH, USA

    M. R. Hadizadeh

  2. College of Science and Engineering, Central State University, 45384, Wilberforce, OH, USA

    M. R. Hadizadeh

  3. Department of Physics, K. N. Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran

    M. Radin

Authors
  1. M. R. Hadizadeh
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  2. M. Radin
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Correspondence to M. Radin.

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Communicated by Shi-Lin Zhu

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Hadizadeh, M.R., Radin, M. Calculation of relativistic nucleon-nucleon potentials in three dimensions. Eur. Phys. J. A 53, 18 (2017). https://doi.org/10.1140/epja/i2017-12209-6

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  • DOI: https://doi.org/10.1140/epja/i2017-12209-6

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