Three-particle equations for the coupled N. pi. -N. pi pi. system

Journal Article · Wed Aug 01 04:00:00 EDT 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.30.666· OSTI ID:6530703

Fuda, M G

An analysis of the coupled N..pi..-N..pi pi.. system is carried out using the Hamiltonian of the Chew-Low theory. This Hamiltonian describes the interaction of pions with a static nucleon through the virtual process Narrow-right-leftN+..pi... A set of three-particle equations is obtained whose solutions satisfy two- and three-particle unitarity, as well as the discontinuity relations for the production amplitudes (N+..pi -->..N+2..pi..) in the subenergy variables, i.e., the energy of one of the final state pions. It is shown that in order to satisfy the subenergy discontinuity relation, it is necessary to include all four P-wave ..pi..-N amplitudes as input to the three-particle equations. In particular, even though the ..delta.. is not an elementary particle in the model considered, its amplitude must be part of the input. The analysis presented shows how to modify the standard three-particle equations to account for single nucleon intermediate states. An expansion for the production amplitude similar to the isobar expansion emerges from the analysis. An approximation for the nucleon propagator is obtained which includes the effect of two meson states.

• Research Organization: Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York 14260
• OSTI ID: 6530703
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 30:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHEW-LOW METHOD
ELEMENTARY PARTICLES
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
HAMILTONIANS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PION-NUCLEON INTERACTIONS
PIONS
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
THREE-BODY PROBLEM
UNITARITY