TY - JOUR

T1 - Treatment of two nucleons in three dimensions

AU - Fachruddin, Imam

AU - Elster, Ch

AU - Golak, J.

AU - Skibiński, R.

AU - Glöckle, W.

AU - Witała, H.

N1 - Publisher Copyright:
© Owned by the authors, published by EDP Sciences, 2010.

PY - 2010/4/12

Y1 - 2010/4/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84921341187&partnerID=8YFLogxK

U2 - 10.1051/epjconf/20100305021

DO - 10.1051/epjconf/20100305021

M3 - Conference article

AN - SCOPUS:84921341187

SN - 2101-6275

VL - 3

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

M1 - 05021

T2 - 19th International IUPAP Conference on Few-Body Problems in Physics, Few-Body 2009

Y2 - 31 August 2009 through 5 September 2009

ER -