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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.
Physical Review C – American Physical Society (APS)
Published: Apr 1, 1982
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