qqq-barq-bar system in a potential model
We have examined the qqq-barq-bar system in a nonrelativistic potential model with color-dependent confinement forces and hyperfine interactions by solving the four-particle Schroedinger equation variationally. We find that normally the ground state of this system consists of two free mesons, but that exceptions to this rule probably occur for KK-bar systems, where we find weakly bound 0/sup + +/ states with a meson-meson structure reminiscent of the nucleon-nucleon structure of the deuteron. We show that these states may be identified with the S* and delta just below KK-bar threshold. We further argue that the qqq-barq-bar system is not only nearly barren of bound states, but that it is unlikely to support any resonances. Finally, independent of their identification with observed states, we note that the qqq-barq-bar bound states are a model for the weak binding and color-singlet clustering observed in nuclei.
- Research Organization:
- Department of Physics, University of Toronto, Toronto, Canada M5S 1A7
- OSTI ID:
- 6299805
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 27:3; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUND STATE
CHARGED PARTICLES
COMPOSITE MODELS
DEUTERONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FOUR-BODY PROBLEM
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MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
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POSTULATED PARTICLES
POTENTIALS
QUARK MODEL
QUARKS
SCHROEDINGER EQUATION
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