K-matrix formalisms in multiparticle scattering

Journal Article · Fri Dec 31 23:00:00 EST 1976 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.15.42· OSTI ID:7323393

Kowalski, K L

The Kouri-Levin K-matrix formalism for multiparticle scattering is examined in the particular case of three-particle scattering. It is shown that in order for this method to generate transition amplitudes satisfying unitarity, much more stringent constraints must be imposed upon the K operators in addition to the zero discontinuity condition. The imposition of these constraints seriously limits the usefulness of this formalism as a unitarization technique; this conclusion holds for multiparticle scattering as well. The relationship of the Kouri-Levin method to other realizations of the K-matrix idea is studied. In the three-particle case it is found that the Kouri-Levin method is not preferable on grounds of simplicity to any of the extant techniques even ignoring the constraints required in addition to the zero discontinuity condition. (AIP)

• Research Organization: Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106
• OSTI ID: 7323393
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 15:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
K MATRIX
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRICES
QUANTUM OPERATORS
SCATTERING AMPLITUDES
THREE-BODY PROBLEM
UNITARY POLE APPROXIMATION