An algebraic model of Coulomb scattering with spin

A new matrix-valued realization for the so(3, 1) algebra leads to a natural generalization of the Coulomb scattering problem of a particle with spin. The underlying su (2) gauge structure of this realization recasts the scatt ering problem into a familiar form, namely, the Coulomb scattering problem of a collection of dyons (particles having both electric and magnetic charg es). Using this equivalent form and the results of Zwanziger for such syste ms, the scattering matrix can be calculated in the helicity formalism.