Soliton bag model of the nucleon and delta dressed by a quark-antiquark pion
The Friedberg-Lee soliton bag model is used to describe the nucleon, delta and pion. The author builds upon the mean-field solutions to the model taking into account the one-gluon-exchange interaction by the use of a free gluon propagator in the Coulomb gauge and allowing the nucleon or delta to consist of a bare three quark bag and a three quark bag dressed by one quark-antiquark pion. This way of treating the pion cloud differs from most other works on the subject by the fact that he takes the quark substructure of the pion into account. The generator coordinate method enables him to find an approximate solution to the ground state of the nucleon and the delta from which static physical properties can be calculated. The soliton field part of the ground state is treated in a coherent state approximation (similar to the mean-field approximation, but remaining a true quantum state). The generator coordinate or Hill-Wheeler integral equations are solved numerically with the help of the Tikhonov regularization. Detailed numerical results are given for different sets of parameters. The agreement with experiment is as good as in the mean-field approximation but new quantities are now accessible to computation (e.g., the neutron charge radius and the NN( and N..delta pi.. coupling constants.
- Research Organization:
- Washington Univ., Seattle (USA)
- OSTI ID:
- 7103560
- Country of Publication:
- United States
- Language:
- English
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Moments
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& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BAG MODEL
BARYONS
BOSONS
COMPOSITE MODELS
DELTA-1236 RESONANCES
ELEMENTARY PARTICLES
EXCHANGE INTERACTIONS
EXTENDED PARTICLE MODEL
FERMIONS
GENERATOR-COORDINATE METHOD
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MESONS
NUCLEAR STRUCTURE
NUCLEONS
PARTICLE MODELS
PIONS
PSEUDOSCALAR MESONS
QUARK MODEL
QUASI PARTICLES
SOLITONS