Scattering of a Spin-{\frac{1}{2}} Particle Off a Spin-0 Target in a Simple Three-Dimensional Basis

Scattering of a spin- ${\frac{1}{2}}$ particle off a spin-0 target is formulated based on a simple three-dimensional momentum-spin basis. The azimuthal behaviour of both the potential and the T-matrix elements leads to a set of integral equations for the T-matrix elements in two variables only, namely the momentum’s magnitude and the scattering angle. Some symmetry relations for the potential and the T-matrix elements reduce the number of the integral equations to be solved by a factor of one half. A complete list of the spin observables in terms of the two-dimensional T-matrix elements is presented.