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Multiparticle Partial-Wave Amplitudes and Inelastic Unitarity. I. General Formalism; Racah Coefficients for the Poincaré Group
Phys. Rev. D 4, 2260 – Published 15 October, 1971
DOI: https://doi.org/10.1103/PhysRevD.4.2260
Abstract
Multiparticle partial-wave amplitudes are defined for arbitrary scattering processes. Unitarity conditions are then imposed at arbitrary energies, resulting in nonlinear relations between the multiparticle partial-wave amplitudes. It is pointed out that the derivation of such unitarity relations is equivalent to finding the Racah coefficients for the Poincaré group. These coefficients, as with other quantities of interest in the paper, are derived for particles with arbitrary spins, masses, and boosting operations. Complications due to identical particles are also discussed.
See Also
Multiparticle Partial-Wave Amplitudes and Inelastic Unitarity. II. Analysis of Three-Body Unitarity
Phys. Rev. D 7, 2980 (1973)
Multiparticle Partial-Wave Amplitudes and Inelastic Unitarity. III. Solution of the Three-Body Unitarity Equations Using Characteristic Operator Functions
Phys. Rev. D 7, 2989 (1973)
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