Calculation of proton-deuteron breakup scattering cross section in intermediate energies

In this paper، we reformulate three-nucleon breakup scattering in leading order approximation by considering spin-isospin degrees of freedom. At first، considering the inhomogeneous part of Faddeev equation، which is a valid approximation in high and intermediate energles، we present the Faddeev equation as a function of vector Jacobi momenta and spin and isospin quantum numbers. In this new formulation، a three-dimensional representation of deuteron wave function instead of its partial wave representation. Then، this equation is rewritten in suitable coordinate system as a function of vector magnitudes and angles between them for numerical calculation. Finally، by applying the Bonn-B potential the proton-deuteron breakup scattering cross section is calculated and the results are compared with the experimental data.