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

Abstract

Scattering of a spin-1 2 particle off a spin-0 target is formulated based on a simple threedimensional 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.

KN scattering with hadrons exchange potential in 3D techniques

“…The three-dimensional (3D) technique appears to be a good alternative to the PW one in solving the Lippmann-Schwinger (LS) equation, see for example Ref. [2,3]. In 3D technique the linear momentum state as part of the basis state is not expanded in the angular momentum states, thus, all partial waves are taken.…”