Drei-Teilchen-Reaktionen und Partialwellen

Abstract

A formal scattering theory for reactions with three outgoing particles is developed. The transition amplitude is written as an expansion of partial waves numbered by the generalized angular momentumλ in the six-dimensional space and by the ordinary angular momentum. For potentials of finite range only a limited number of partial waves is important. The dependence of the cross section on the position of the decay plane is investigated as well as the distribution of the particle energies in the Dalitzplots. Symmetry with respect to permutations of identical particles is taken into account.