Accession Number : AD0644980

Title :   KINEMATICS OF MULTIPARTICLE PROCESSES.

Descriptive Note : Research communication no. 7,

Corporate Author : DOUGLAS AIRCRAFT CO INC HUNTINGTON BEACH CALIF ADVANCED RESEARCH LAB

Personal Author(s) : Jacobson,Donald A.

Report Date : APR 1966

Pagination or Media Count : 42

Abstract : 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)

Descriptors :   (*ELEMENTARY PARTICLES, *KINEMATICS), (*NUCLEAR SCATTERING, KINEMATICS), S MATRIX, INVARIANCE, SET THEORY, MATRICES(MATHEMATICS), INTERACTIONS

Subject Categories : Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE