A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme

preprint2010arXivOpen access

Abstract

We have introduced a spin-isospin dependent three-dimensional approach for formulation of the three-nucleon scattering. Faddeev equation is expressed in terms of vector Jacobi momenta and spin-isospin quantum numbers of each nucleon. Our formalism is based on connecting the transition amplitude TT to momentum-helicity representations of the two-body tt-matrix and the deuteron wave function. Finally the expressions for nucleon-deuteron elastic scattering and full breakup process amplitudes are presented.

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