The Two-Nucleon and Three-Nucleon System in Three Dimensions

K. Topolnicki, J. Golak, H. Witała, R. Skibiński and A.E. Elmeshneb Institute of Physics, Jagiellonian University, W.S. Reymonta 4, 30-059 Kraków, Poland

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We present a brief overview of the three-dimensional formalism that is under development in our group. Using the 3D momentum eigenstates of the nucleon directly, instead of relying on the partial wave decomposition of operators involved in the calculations, allows us to use a very direct approach. This in turn enabled us to successfully tackle a large variety of few-body problems. Our calculation of the two nucleon transition operator and bound state can incorporate a very general form: of the two-nucleon potential. Calculations of the three-nucleon bound state can include in addition to the two-nucleon potential also a very general operator form of the three-nucleon force. Recently the 3D formalism is also applied to processes that involve electro-weak probes. Carrying out these calculations for a wide spectrum of two-nucleon and three-nucleon potentials using the classical partial wave approach is unpractical due to the complicated spin structure of the operators. Using the 3D formalism, the calculations can be quickly adapted to test new models.

DOI: 10.12693/APhysPolA.127.1527 PACS numbers: 25.10.+s, 21.45.-v, 21.45.Bc, 21.45.Ff