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Published on: June 28, 2018
Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
M R Hadizadeh1,2, M Radin3, F Nazari4
1College of Engineering, Science, Technology and Agriculture, Central State University, Wilberforce, OH, 45384, USA.
Abstract:
The matrix elements of relativistic nucleon-nucleon (NN) potentials are calculated directly from the nonrelativistic potentials as a function of relative NN momentum vectors, without a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic NN potentials is formulated in momentum-helicity basis states. It leads to a single integral equation for the two-nucleon (2N) spin-singlet state, and four coupled integral equations for two-nucleon spin-triplet states, which are solved by an iterative method. Our numerical analysis indicates that the relativistic NN potential obtained using CD-Bonn potential reproduces the deuteron binding energy and neutron-proton elastic scattering differential and total cross-sections with high accuracy.
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