Eur. Phys. J. A (2010) 46: 271-284
https://doi.org/10.1140/epja/i2010-11039-4

Regular Article - Theoretical Physics

A spin-isospin-dependent 3N scattering formalism in a 3D Faddeev scheme

Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran

^* e-mail: mehdi_harzchi@khayam.ut.ac.ir

Received: 10 May 2010
Accepted: 11 September 2010
Published online: 2 October 2010

Abstract

We introduce a spin-isospin-dependent three-dimensional approach for the formulation of the three-nucleon scattering. The 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.