CONSTRUCTION OF INVARIANT SCATTERING AMPLITUDES FOR ARBITRARY SPINS AND ANALYTIC CONTINUATION IN TOTAL ANGULAR MOMENTUM

Journal Article · Mon Apr 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.130.442· OSTI ID:4750994

Barut, A O; Muzinich, I; Willimas, D N

From group-theoretical considerations, invariant scattering amplitudes for two-body reactions of particles with arbitrary spins and nonzero masses are constructed in various forms, including helicity amplitudes and amplitudes free of kinematical singularities. They are linear combinations of spin basis functions with scalar coefficients. In the process of construction the Pauli spin matrices are generalized for arbitrary spin. On the basis of a Mandelstain representation for the scalar coefficients, the unique analytic continuation of the amplitudes in total angular momentum is obtained. Possible kinematical singularities of the scalar amplitudes at the boundary of the physical region are discussed. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-17-017035
• OSTI ID: 4750994
• Report Number(s): UCRL-10463; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 130; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FIELD THEORY
GROUP THEORY
HELICITY
INTERACTIONS
MANDELSTAM REPRESENTATION
MANY BODY PROBLEM
MASS
MATHEMATICS
MATRICES
MOMENTUM
PHYSICS
SCATTERING
SPIN