Baryon states in the chiral bag model
Significant advances have been made recently in the theory of the strong interactions, and among these perhaps the most important is the emergence of quantum chromodynamics (QCD) as a basic theory of the strong interactions. The successes of QCD in the high energy regime are well known. But in the low energy regime the analysis of QCD has to some extent reached an impasse, brought on by the lack of an expansion parameter for perturbation theory. In studying many aspects of this strong coupling limit, one is forced to devise simpler, effective theories, incorporating certain features of QCD and hopefully approximating to it. One has, generically, the following theories of hadron structure: Bag Models, the Skyrmion, and Hybrid Models. Hybrid models couple fundamental hadron constituents to meson fields obeying chiral lagrangians. Symmetry breaking and soft meson theorems are thus built in. The chiral bag is a hybrid model which includes a meson cloud satisfying complicated nonlinear equations of motion. To allow solution of these equations one introduces the simplifying hedgehog ansatz, in which the isospin points radially outward. The meson fields are static, and there is a correlation between space and isospin. To obtain good spin and isospin quantum numbers for the Skyrmion, the rotational motion of the soliton must be quantized. The implementation of this procedure in the case of the chiral bag is a central concern of this dissertation. In addition, an analysis is made of residual gluon exchange forces in the chiral bag, and comparison is made with the MIT bag. I argue that the reliability of a perturbative treatment of gluon exchange is improved by adding the meson cloud.
- Research Organization:
- State Univ. of New York, Stony Brook, NY (USA)
- OSTI ID:
- 5075013
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
BASIC INTERACTIONS
CALCULATION METHODS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
STRONG INTERACTIONS