Discrete two-variable expansions of scattering amplitudes for particles with spin
Scattering amplitudes for two-body reactions involving particles with arbitrary spins are expanded in terms of functions of the energy and scattering angle. The expansions are in terms of the representation matrices of the O(4) group and are a modification of previously obtained two-variable expansions in terms of the representations of the ''internal Lorentz group.'' The new expansions involve only sums, rather than integrals. They can be interpreted as partial-wave expansions, supplemented by a further expansion of each partial wave in terms of the O(4) d functions. The partial waves automatically have the correct threshold behavior and the O(4) amplitudes (the expansion coefficients) have simple properties with respect to the usual discrete symmetries (parity, etc.). The expansions can be applied to analyze two-body scattering data simultaneously for all angles 0 < or = theta < or = ..pi.., 0 < or = phi<2..pi.. and all energies from threshold to some a priori chosen maximal energy.
- Research Organization:
- Laboratoire de Physique Theorique, Universite de Bordeaux I, 33170 Gradignan, France
- OSTI ID:
- 5388388
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:7; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR DISTRIBUTION
ANGULAR MOMENTUM
DISTRIBUTION
DYNAMICAL GROUPS
ENERGY DEPENDENCE
ENERGY RANGE
INTERACTIONS
LIE GROUPS
LORENTZ GROUPS
LORENTZ TRANSFORMATIONS
MANY-BODY PROBLEM
O GROUPS
PARITY
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POINCARE GROUPS
RELATIVISTIC RANGE
SCATTERING AMPLITUDES
SERIES EXPANSION
SPIN
SYMMETRY GROUPS
TRANSFORMATIONS
TWO-BODY PROBLEM