https://doi.org/10.1140/epja/i2017-12209-6
Regular Article - Theoretical Physics
Calculation of relativistic nucleon-nucleon potentials in three dimensions
1
Institute of Nuclear and Particle Physics and Department of Physics and Astronomy, Ohio University, 45701, Athens, OH, USA
2
College of Science and Engineering, Central State University, 45384, Wilberforce, OH, USA
3
Department of Physics, K. N. Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran
* e-mail: radin@kntu.ac.ir
Received:
29
November
2016
Accepted:
19
January
2017
Published online:
6
February
2017
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2017
