Effective Lagrangian for Skyrmion physics
The effective chiral Lagrangian for low-energy pion-Skyrmion physics is considered as an expansion in powers of (partialPhi), where Phi is the chiral field. The O((partialPhi)/sup 2/) term is the nonlinear sigma-model Lagrangian L/sub 2/. Two theoretical approaches to the higher-order terms are examined. The first involves integration over fermion degrees of freedom. The O((partialPhi)/sup 4/) terms obtained this way, together with L/sub 2/, are found to be consistent with low-energy ..pi pi.. phase shifts: in particular, in the dominant rho and sigma channels. In the second approach, an effective pion Lagrangian is generated by integrating some simple chiral meson-field Lagrangians over the heavy mesons. At O((partialPhi)/sup 4/) two terms are found: a term L/sub 4,rho/ of Skyrme form, with a model-independent coefficient determined by the rho mass, and a non-Skyrme term L/sub 4,sigma/, the coefficient of which is more model dependent and determined by the sigma mass; both terms are compatible with the fermion integration results. It is concluded that the O((partial..pi..)/sup 4/) terms are well established theoretically, and in good qualitative agreement with pion data. These terms do not, however, stabilize the soliton. Some discussion of the possible stabilizing effects of O((partial..pi..)/sup 6/) terms is given.
- Research Organization:
- Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, England
- OSTI ID:
- 5931606
- Journal Information:
- Phys. Rev. D; (United States), Vol. 33:7
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUANTUM CHROMODYNAMICS
SKYRME POTENTIAL
BARYON NUMBER
CHIRAL SYMMETRY
COUPLING CONSTANTS
FLAVOR MODEL
LAGRANGIAN FUNCTION
PHASE SHIFT
PION-PION INTERACTIONS
SCATTERING
SIGMA MODEL
SOLITONS
COMPOSITE MODELS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
POTENTIALS
QUANTUM FIELD THEORY
QUARK MODEL
QUASI PARTICLES
SYMMETRY
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory