Kinematics of Multiparticle Processes

摘要

A thorough analysis is made of the kinematics of a general scattering process involving N particles. The following structural properties are proved for the physical region: (1) The physical regions for individual channels are connected and mutually disjoint. (2) The entire physical region can be decomposed into a sum of three real analytic manifolds of dimension 3N-10, 2N-6, and N-3, plus a finite set of points. (3) The physical region can be imbedded in a connected 3N-10 dimensional analytic set, which in turn can be decomposed into a sum of three complex analytic manifolds of dimension 3N-10, 2N-6 and N-3, plus a finite set of points. (Author)