Pion scattering from quark bag nucleons

Journal Article · Thu Mar 01 04:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.29.906· OSTI ID:6895900

McLeod, R J; Ernst, D J

The elastic scattering of a pion from quark bag models of the nucleon, the ..delta..(1232), and the N((1470) is investigated. A rank two N/D dispersion theory is used to derive a dynamic equation for pion-nucleon elastic scattering which includes the effect of coupling the pion production channels to the elastic channel. In the limit of no coupling to production channels, the model reduces to the cloudy bag model. In the P/sub 11/ channel, the model is quantitatively in agreement with the experimental phase shifts for pion laboratory kinetic energies below 1 GeV with reasonable parameters. In the P/sub 33/ channel, we find similar quantitative agreement. In this channel, the data allow for any mass of the delta bag greater than about 1290 MeV with the model going over continuously to the Chew-Low model as the mass of the delta bag state is increased. The physical resonance is found to be a mixture of a pion-nucleon Chew-Low--type resonance with the delta state of the bag. A bag radius of approximately 1.1 fm is found but several corrections to the model which would alter this radius are noted.

• Research Organization: Nuclear Physics Laboratory, University of Colorado, Boulder, Colorado 80309
• OSTI ID: 6895900
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BAG MODEL
BARYON RESONANCES
BARYONS
CHARGED-PARTICLE REACTIONS
COMPOSITE MODELS
COUPLING CONSTANTS
DELTA-1236 RESONANCES
ELASTIC SCATTERING
ELEMENTARY PARTICLES
ENERGY
EXTENDED PARTICLE MODEL
FERMIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
KINETIC ENERGY
MATHEMATICAL MODELS
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
N RESONANCES
N-1470 RESONANCES
NUCLEAR REACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PHASE SHIFT
PION REACTIONS
PION-NUCLEON INTERACTIONS
QUARK MODEL
RESONANCE PARTICLES
SCATTERING