Treatment of two nucleons in three dimensions

Imam Fachruddin, Ch Elster, J. Golak, R. Skibiński, W. Glöckle, H. Witała

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Article number05021
JournalEPJ Web of Conferences
Publication statusPublished - 12 Apr 2010
Event19th International IUPAP Conference on Few-Body Problems in Physics, Few-Body 2009 - Bonn, Germany
Duration: 31 Aug 20095 Sept 2009


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