Treatment of Two Nucleons in Three Dimensions

Details Treatment of Two Nucleons in Three Dimensions Treatment of Two Nucleons in Three Dimensions

2010-05-14

arxiv.org/abs/1005.2491v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, Contribution to The 19th International IUPAP Conference on Few-Body Problems in Physics, 31.08 - 05.09.2009, Bonn, Ge

Scientific paper

10.1051/epjconf/20100305021

We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators analytically. We apply the general operator structure of a nucleon-nucleon (NN) potential to the NN T-matrix, which becomes a sum of six terms, each term being scalar products of spin operators and momentum vectors multiplied with scalar functions of vector momenta. Inserting this expansions of the NN force and T-matrix into the Lippmann-Schwinger equation allows to remove the spin dependence by taking traces and yields a set of six coupled equations for the scalar functions found in the expansion of the T-matrix.

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