Pion-nucleon scattering and the [pi][ital NN] coupling constant in the chiral color dielectric model

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.2207· OSTI ID:6474719

Lu, D; Phatak, S C; Landau, R H ^[1]

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1. Department of Physics, Oregon State University, Corvallis, Oregon 97331 (United States)

We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled [pi][ital N] and [pi][Delta] system. Dynamic baryon states in which quarks are confined by the scalar color dielectric field are constructed in Fock space. Spurious motion of the center of mass is eliminated by constructing momentum eigenstates via a Peierls-Yoccoz projection. The relativistic Lippmann-Schwinger equation is solved for the complex energies of the [ital T] matrix poles, and the pole positions of the nucleon and delta are used to fix the few parameters of the model. The [ital S]- and [ital P]-wave phase shifts, the bare [ital N] and [Delta] masses, the renormalized [pi][ital NN] and [pi][ital N][Delta] coupling constants, and the [pi][ital NN] and [pi][ital N][Delta] vertex functions are predicted. We conclude that the monopole form factors often found in the literature are inadequate for reproducing [pi][ital N] scattering, and that more realistic ones such as those from the color dielectric model are needed. We also conclude that the radius parameter of the form factor is more than twice as large as that preferred by meson exchange potential models. By renormalizing the [pi][ital N] vertex by the pion field, the ratio of the [pi][ital N][Delta] to [pi][ital NN] coupling constants is closer to experiment than the SU(6) prediction.

• OSTI ID: 6474719
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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662340* -- Hadron Interactions-- (1992-)
662410 -- Properties of Baryons & Baryon Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
DELTA BARYONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FORM FACTORS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
N BARYONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUARK MODEL
S WAVES
SYMMETRY
VERTEX FUNCTIONS