Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
arXiv:2108.12101 · doi:10.1038/s41598-021-96924-1
Abstract
The matrix elements of relativistic nucleon-nucleon potentials are calculated directly from the nonrelativistic potentials as a function of relative momentum vectors, without using a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic potentials is formulated in momentum-helicity basis states. It leads to a single integral equation for the two-nucleon 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 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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