Final-state interactions in a system of three pions

Journal Article · Sun Mar 01 04:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1194· OSTI ID:6656950

Brehm, J J

Subenergy unitarity methods are used to analyze the vacuum-to-three-pion matrix element of the axial-vector current. The isobar expansion together with dispersion relations in the isobar subenergy variables provides a representation which describes the interactions among the three final pions in the 1/sup +/ and 0/sup -/ states. Linear integral equations in a single variable are obtained for the isobar amplitudes. The coupled system of epsilon..pi.. and rho..pi.. channels is considered. A phenomenological viewpoint is adopted from which a modular picture of the isobar amplitudes emerges. The amplitudes are products of process-dependent factors and so-called resolvents common to any process with the same final state. Integral equations for the resolvents are obtained and solved by means of a basis-function method. The solutions in the 1/sup +/ state exhibit a remarkable fluctuation as a function of the three-pion mass when this variable is near the region of the A/sub 1/ resonance. The possible impact of this effect on the experimental A/sub 1/ situation is briefly discussed.

• Research Organization: Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003
• OSTI ID: 6656950
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 23:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
A RESONANCES
A1-1070 RESONANCES
ALGEBRAIC CURRENTS
ANGULAR MOMENTUM
AXIAL-VECTOR CURRENTS
BOSONS
COUPLED CHANNEL THEORY
CURRENTS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
FINAL-STATE INTERACTIONS
HADRONS
INTERACTIONS
ISOBAR MODEL
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESON RESONANCES
MESONS
PARITY
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE SHIFT
PIONS
PSEUDOSCALAR MESONS
RESONANCE PARTICLES
SPIN
THREE-BODY PROBLEM
UNITARITY
VACUUM STATES