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Definitions of the off-shell relative momentum in relativistic theories

Definitions of the off-shell relative momentum in relativistic theories A variety of definitions of the relative momentum in off-shell systems are discussed and a set of basic requirements for these momenta are established. The off-mass-shell Wightman-Gårding four-momentum, which has been employed most recently by Morioka and Afnan, is shown to be ambiguously defined, and it is shown that the relative four-momentum that is suggested by the magic-vector prescription of Aaron, Amado, and Young should not be used in off-mass-shell systems because it and the total four-momentum do not constitute a complete set of variables for the two-body system. NUCLEAR REACTIONS Relativistic kinematics, relative momentum, Bethe-Salpeter equation, Blankenbecler-Sugar reductions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

Definitions of the off-shell relative momentum in relativistic theories

Physical Review C , Volume 25 (4) – Apr 1, 1982
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1982 The American Physical Society
ISSN
1089-490X
DOI
10.1103/PhysRevC.25.2133
Publisher site
See Article on Publisher Site

Abstract

A variety of definitions of the relative momentum in off-shell systems are discussed and a set of basic requirements for these momenta are established. The off-mass-shell Wightman-Gårding four-momentum, which has been employed most recently by Morioka and Afnan, is shown to be ambiguously defined, and it is shown that the relative four-momentum that is suggested by the magic-vector prescription of Aaron, Amado, and Young should not be used in off-mass-shell systems because it and the total four-momentum do not constitute a complete set of variables for the two-body system. NUCLEAR REACTIONS Relativistic kinematics, relative momentum, Bethe-Salpeter equation, Blankenbecler-Sugar reductions.

Journal

Physical Review CAmerican Physical Society (APS)

Published: Apr 1, 1982

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