Summary
A thorough analysis is made of the kinematics of a general scattering process involvingN 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 andN−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 andN−3, plus a finite set of points.
Riassunto
Si fa una completa analisi della cinematica di un generico processo di scattering che coinvolgeN particelle. Si dimostrano le seguenti proprietà strutturali della regione fisica: 1) Le regioni fisiche dei singoli canali sono connesse e mutuamente disgiunte. 2) L'intera regione fisica può essere decomposta nella somma di tre molteplicità analitiche reali di dimensioni 3N–10, 2N–6 eN−3, più gn gruppo finito di punti. 3) La regione fisica può essere inserita in un gruppo analitico a 3N–10 dimensioni connesso che, a sua volta, può essere decomposto nella somma di tre molteplicità analitiche complesse di dimensioni 3N–10, 2N–6 eN−3 più un gruppo finito di punti.
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Work presented herein was conducted by the Douglas Advanced Research Laboratory under company-sponsored Research and Development funds.
Traduzione a cura della Redazione.
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Jacobson, D.A. Kinematics of multiparticle processes. Nuovo Cimento A (1965-1970) 45, 905–923 (1966). https://doi.org/10.1007/BF02738378
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DOI: https://doi.org/10.1007/BF02738378