Theory of final-state interactions in three-particle systems

Abstract

The form, as determined by the coherence formalism, of the final-state-interaction (fsi) amplitude for three-particle breakup reactions is derived from the Faddeev equations in the case of $n-d$ breakup. A parametrization of the Faddeev amplitudes in the fsi region is presented and interpreted. The detailed analytic form of fsi differential cross sections is obtained, showing that the most important fsi parameters are the two-particle scattering length and an effective target size, which exhibits dilation effects. Analysis of experiments with the theory implies charge symmetry of nuclear forces.