Divergent Regge Helicity Sums, Distributions, and Toller Angles
- 15 February 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 3 (4), 1012-1015
- https://doi.org/10.1103/physrevd.3.1012
Abstract
Divergent infinite-helicity sums appearing in complex continuations of multiparticle unitarity equations including the Faddeev equations, and in the multi-Froissart-Gribov formalism are made convergent by regarding the amplitude as a distribution in the Toller azimuthal angles conjugate to the helicities. Some aspects of dynamical calculations using this formalism are discussed.
Keywords
This publication has 17 references indexed in Scilit:
- Multiperipheral Nonfactorization, Signature, and Toller-Angle-Variable CutsPhysical Review D, 1971
- Characters of the Poincaré GroupJournal of Mathematical Physics, 1970
- Use of Nonsignatured Partial-Wave Amplitudes in Regge-Pole TheoryPhysical Review B, 1969
- Partial-Wave Analysis of Many-Particle Scattering Amplitudes and Multi-Regge TheoryPhysical Review B, 1969
- On the group-theoretical approach to complex angular momentum and signatureIl Nuovo Cimento A (1971-1996), 1968
- Some Aspects of Complex Angular Momentum and Three-Particle States. IIPhysical Review B, 1967
- Some Aspects of Complex Angular Momentum and Three-Particle StatesPhysical Review B, 1965
- Three-dimensional Lorentz group and harmonic analysis of the scattering amplitudeIl Nuovo Cimento (1869-1876), 1965
- Three-Body Scattering Amplitude. II. Extension to Complex Angular MomentumPhysical Review B, 1964
- Complex Angular Momenta and Many-Particle States. I. Properties of Local Representations of the Rotation GroupJournal of Mathematical Physics, 1964