Unitary, relativistic resonance model for [pi][ital N] scattering

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.703· OSTI ID:6818396

Gross, F ^[1]; Surya, Y ^[2]

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1. College of William and Mary, Williamsburg, Virginia 23185 (United States) Continuous Electron Beam Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606 (United States)
2. College of William and Mary, Williamsburg, Virginia 23185 (United States)

Pion nucleon scattering up to 600 MeV laboratory kinetic energy is described by a manifestly covariant wave equation in which the pion is restricted to its mass shell. The kernel of the equation includes nucleon ([ital N]), Roper ([ital N][sup *]), delta ([Delta]), and [ital D][sub 13] poles, with their corresponding crossed pole terms approximated by contact interactions, and contact [sigma]- and [rho]-like exchange terms. The [pi][ital NN] vertex is treated as a mixture of [gamma][sup 5] and [gamma][sup [mu]][gamma][sup 5] coupling, with a mixing parameter [lambda] chosen so that the dressed nucleon pole will be unshifted by the interaction. Chiral symmetry is maintained at threshold. The resonance contributions are fully unitarized by the equation, with their widths determined by the dynamics included in the model. The [Delta] and [ital D][sub 13] are treated as pure spin 3/2 particles, with no spin 1/2 amplitude in the [ital S] channel. The complete development of this model, which gives a very good fit to all the data up to 600 MeV, is presented.

• DOE Contract Number: FG05-88ER40435
• OSTI ID: 6818396
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:2; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYONS
CHIRAL SYMMETRY
DELTA BARYONS
DELTA-1232 BARYONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INELASTIC SCATTERING
INTEGRAL EQUATIONS
INTERACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
N BARYONS
N-1440 BARYONS
NUCLEAR FORCES
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
RELATIVISTIC RANGE
RESONANCE SCATTERING
SCATTERING
SCATTERING AMPLITUDES
SYMMETRY
UNITARITY
VERTEX FUNCTIONS