Pion-nucleon scattering in the Skyrme model and the P -wave Born amplitudes

Journal Article · Thu Feb 28 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1520· OSTI ID:6396162

Hayashi, A ^[1]; Saito, S ^[2]; Uehara, M ^[3]

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1. Department of Physics, Fukui University, Fukui 910, Japan (JP)
2. Department of Physics, Nagoya University, Nagoya 464-01, (Japan)
3. Department of Physics, Saga University, Saga 840, (Japan)

We treat fluctuating pion fields around a rotating Skyrmion by means of Dirac's quantization method. The rotational collective motion of the Skyrmion is described by collective coordinates, and conventional gauge-fixing conditions are imposed. Taking into account all the relevant terms at the tree level appearing in the Hamiltonian, we show that pion-nucleon scattering amplitudes exhibit the {ital P}-wave Born amplitudes attributed to the Yukawa coupling of order {radical}{ital N}{sub {ital c}} , which is consistent with the prediction of chiral symmetry such as the Adler-Weisberger relation. This resolves the difficulty that the Skyrme model predicts a wrong {ital N}{sub {ital c}} dependence for the coupling of order {ital N}{sub {ital c}}{sup {minus}3/2}.

• OSTI ID: 6396162
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:5; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BORN APPROXIMATION
CHIRAL SYMMETRY
COUPLING CONSTANTS
ELASTIC SCATTERING
FIELD THEORIES
FORM FACTORS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTIONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR POTENTIAL
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PION-NUCLEON INTERACTIONS
POTENTIALS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SCATTERING
SCATTERING AMPLITUDES
SIGMA MODEL
SOLITONS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
YUKAWA POTENTIAL