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

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 $T$ to momentum-helicity representations of the two-body $t$-matrix and the deuteron wave function. Finally the expressions for nucleon-deuteron elastic scattering and full breakup process amplitudes are presented.

17 pages

References in corpus (8)

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• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
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Cited by in corpus (4)

• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
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• Triton photodisintegration in three-dimensional approach
• Numerical study of the two-boson bound-state problem with and without partial-wave decomposition