Heavy-quark--antiquark potential in the MIT bag model
The MIT bag model for a meson composed of a heavy quark and a heavy antiquark is solved using the Born-Oppenheimer approximation. For fixed qq-bar separations the color-electric fields and bag shapes are determined by solving numerically the Yang-Mills equations with bag boundary conditions to lowest order in the quark-gluon coupling constant. Spin effects are not included. The resulting bag energy is used as a potential energy in the Schroedinger equation for the relative motion of the quarks. Good agreement with the experimental psi and UPSILON spectra and leptonic decay widths is found. When the same potential is applied to strange-quark systems, a consistent picture of the masses of the phi and F* mesons emerges. The relation between spectroscopy and the variation of the coupling constant with distance is explored.
- Research Organization:
- Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
- OSTI ID:
- 5017711
- Journal Information:
- Phys. Rev., D; (United States), Vol. 22:5
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BAG MODEL
QUARK-ANTIQUARK INTERACTIONS
PSI RESONANCES
LEPTONIC DECAY
POTENTIAL ENERGY
UPSILON RESONANCES
BORN APPROXIMATION
BOUNDARY CONDITIONS
COUPLING CONSTANTS
GLUONS
SCHROEDINGER EQUATION
YANG-MILLS THEORY
BASIC INTERACTIONS
BOSONS
COMPOSITE MODELS
DECAY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
EXTENDED PARTICLE MODEL
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
RESONANCE PARTICLES
VECTOR MESONS
WAVE EQUATIONS
WEAK INTERACTIONS
WEAK PARTICLE DECAY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645400 - High Energy Physics- Field Theory