Three-body unitarity, the cloudy bag model, and the Roper resonance

Journal Article · Sat Jul 01 00:00:00 EDT 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.40.220· OSTI ID:5897510

Pearce, B C; Afnan, I R

We present the details and results of a Faddeev calculation of ..pi../ital N/scattering in the /ital P//sub 11/ channel in the region of the Roperresonance. Our equations respect two- and three-body unitarity, treat thenucleon and delta on an equal footing, and have a pole with correct residue atthe nucleon mass. The input is from the cloudy bag model. Resonance behavior isexhibited without the inclusion of a bare Roper bag, although not in detailedagreement with experiment. If a bare Roper bag is included, the phase shiftsvary far too rapidly in the resonance region, implying that identifying thelowest radial bag excitations with the Roper leads to a physical Roper that ismuch too narrow.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545(US); School of Physical Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia
• OSTI ID: 5897510
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 40:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
EQUATIONS
EXTENDED PARTICLE MODEL
FADDEEV EQUATIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MASS SPECTRA
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
S WAVES
SPECTRA
SYMMETRY
THREE-BODY PROBLEM
UNITARITY