Analysis of a classical chiral bag model
The author studies a classical chiral bag model with a Mexican hat-type potential for the self-coupling of the pion fields. He assumes a static spherical bag of radius R, the hedgehog ansatz for the chiral fields and that the quarks are all in the lowest lying s state. The author has considered three classes of models, the cloudy or pantopionic bags, the little or exopionic bags and the endopionic bags, where the pions are allowed all through space, only outside the bag and only inside the bag respectively. In all cases, the quarks are confined in the interior. He calculates the bag radius R, the bag constant B and the total ground state energy R for wide ranges of the two free parameters of the theory, namely the coupling constant lambda and the quark frequency omega. The author focuses the study on the endopionic bags, the least known class, and compares the results with the familiar ones of other classes.
- Research Organization:
- Yale Univ., New Haven, CT (USA)
- OSTI ID:
- 7166553
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOSONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
EXTENDED PARTICLE MODEL
GROUND STATES
HADRONS
LAGRANGE EQUATIONS
MATHEMATICAL MODELS
MESONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARK MODEL
QUARKS