NN-. pi. NN equations and the chiral bag model

Journal Article · Sat Nov 30 23:00:00 EST 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.2006· OSTI ID:6447015

Afnan, I R; Blankleider, B

The NN-..pi..NN equations that describe, in a unified framework, pion production in nucleon-nucleon scattering, and pion-deuteron and nucleon-nucleon elastic scattering, have been extended to include the N(939) and ..delta..(1232) on an equal footing. This extension, motivated by the quark models of hadrons, has the bare N and ..delta.. as three quark states with the same spacial wave function, but different spin isospin states. The final equations, referred to as the BB-..pi..BB equations, are consistent with the chiral bag models to the extent that the ..pi..NN, ..pi..N..delta.., and ..pi delta delta.. coupling constants and form factors are related, and can be taken from bag models. The resultant equations satisfy two- and three-body unitarity, and are derived by exposing the lowest unitarity cuts in the n-body Green's function. These equations retain important contributions missing from the NN-..pi..NN equations. For pion production and N-N scattering they include the contribution of backward pions in the NN..-->..N..delta.. transition potential, which may overcome the problem of small pp..--> pi..d cross section as predicted by the NN-..pi..NN equations. For ..pi..-d elastic scattering they include an additional N..delta -->..N..delta.. tensor force that can influence the tensor polarization.

• Research Organization: School of Physical Sciences, The Flinders University of South Australia, Bedford Park, South Australia, 5042, Australia
• OSTI ID: 6447015
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BAG MODEL
BARYON-BARYON INTERACTIONS
BOSON-EXCHANGE MODELS
BOSONS
CHIRALITY
COMPOSITE MODELS
COUPLING CONSTANTS
CROSS SECTIONS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
FORM FACTORS
FUNCTIONS
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
ISOSPIN
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MESONS
NUCLEON-NUCLEON INTERACTIONS
OBE MODEL
OPE MODEL
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PERIPHERAL MODELS
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
S MATRIX
SCATTERING
SPIN
TENSOR FORCES
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE FUNCTIONS