Published January 27, 2020
| Version v1
Journal article
A collective-coordinate quantization of skyrmions and pion-nucleon scattering
Description
We present a canonical quantization of skyrmions which enables us to calculate higher-order pion-nucleon scattering amplitudes as well as Born amplitudes. The subsidiary conditions imposed on the quantum field and its conjugate momentum are chosen in such a way that all infrared singularities associated with the zero-frequency modes are eliminated from both these fields. We show that the Born terms with recoil corrections are reproduced by the pion-baryon quadratic interaction of O(Nc0) and the pion-baryon linear interaction of O(Nc-1/2). (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. A
- Journal Volume
- 536
- Journal Issue
- 3/4
- Series
- Nucl. Phys., A.
- Journal Page Range
- 521-547
- ISSN
- 0375-9474
- CODEN
- NUPAB
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 23072991
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BAG MODEL; BORN APPROXIMATION; CANONICAL TRANSFORMATIONS; COMMUTATION RELATIONS; CORRECTIONS; FEYNMAN DIAGRAM; FIELD EQUATIONS; FIELD OPERATORS; FLUCTUATIONS; GAUGE INVARIANCE; HAMILTONIANS; INFRARED DIVERGENCES; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; PION-NUCLEON INTERACTIONS; RECOILS; RENORMALIZATION; S MATRIX; SCATTERING AMPLITUDES; SECOND QUANTIZATION; SERIES EXPANSION; SINGULARITY; SOLITONS; VERTEX FUNCTIONS; WAVE FUNCTIONS
- Descriptors DEC
- AMPLITUDES; DIAGRAMS; DIFFERENTIAL EQUATIONS; EQUATIONS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; HADRON-HADRON INTERACTIONS; INFORMATION; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRICES; MESON-BARYON INTERACTIONS; MESON-NUCLEON INTERACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; QUANTIZATION; QUANTUM FIELD THEORY; QUANTUM OPERATORS; QUASI PARTICLES; TRANSFORMATIONS; VARIATIONS