Determination of scattering phase shifts via the generalized unitarity theoremfor spin-orbit interactions

Abstract

The unitarity conditions upon the scattering amplitudes for the elastic scattering of spin- particles from spin-0 targets at energies below the first inelastic threshold transcribe to a set of coupled nonlinear integral equations for the phase functions of two helicity amplitudes and thence, by simple linkage, to the non-spin-flip and spin-flip scattering amplitudes. From the latter set, by Legendre integrations, one obtains the scattering phase shifts, [Formula Presented]. Input to the study are the differential cross section and the polarization, (dσ/dΩ)(θ),P(θ). An iterative method of solution based upon Frechét derivatives and with generalized cross validation (GCV) smoothing of the vari..