New formulation of pion-nucleon scattering and soft-pion theorems in the Skyrme model

Journal Article · Mon Nov 30 23:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.4856· OSTI ID:7174445

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

---

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

We present a new formulation of pion-nucleon scattering and the soft-pion theorems in the Skyrme model, where the reduction formula of the [ital S] matrix and the currents are described in terms of the original canonical fields, which are not yet transformed into the Skyrmion and fluctuation fields in the one-Skyrmion sector. Not referring to any constraints and gauge-fixing conditions imposed on fluctuation fields and collective coordinates, we can easily obtain the Born terms with both of the rotational and translational modes and the soft-pion theorems.

• OSTI ID: 7174445
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230 -- Quantum Chromodynamics-- (1992-)
662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AMPLITUDES
AXIAL-VECTOR CURRENTS
COUPLING
CURRENTS
DISPERSION RELATIONS
ELASTIC SCATTERING
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATRICES
MATRIX ELEMENTS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUASI PARTICLES
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
SKYRME POTENTIAL
SOLITONS
TWO-DIMENSIONAL CALCULATIONS