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arXiv · 1701.05279

Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions

M. R. Hadizadeh·M. Radin
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Abstract

In this paper, we have applied a three-dimensional approach for 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. 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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M. R. Hadizadeh, M. Radin. 2017-01-19. Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions. https://doi.org/10.1140/epja%2Fi2017-12209-6

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