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Self-consistent, Poincaré-invariant and unitary three-particle scattering theory
Author(s) -
James Lindesay,
Alexander J. Markevich,
H. Pierre Noyes,
George Pastrana
Publication year - 1986
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.33.2339
Subject(s) - unitarity , physics , lorentz covariance , scattering amplitude , invariant (physics) , unitary state , scattering , mathematical physics , s matrix , quantum mechanics , cpt symmetry , quantum electrodynamics , classical mechanics , lorentz transformation , political science , law
A Poincare-invariant formalism for the scattering of three distinguishable scalar particles is developed. Lorentz invariance in the form of velocity conservation and a parametric relation between the two- and three-body off-shell continuations in energy are introduced in order to satisfy unitarity and physical clustering. The three-body-invariant probability amplitude is derived from the two-body transition matrix elements.

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