Heavy quark--antiquark bound states in the framework of quantum chromodynamics. [First-order running coupling constant, static limit, tachyon pole, renormalization mass, extrapolation radius]

Conference · Fri Jun 01 00:00:00 EDT 1979

OSTI ID:5970977

Viollier, R D; Rafelski, J

Based on the first order running coupling constant ..cap alpha../sub ..lambda../(q/sup 2/) a quark-antiquark potential is derived in the static limit. The tachyon pole in ..cap alpha../sub ..lambda../(q/sup 2/) leads to a partially confining potential, while the smooth remainder gives rise to a Coulomb like interaction. Linear confinement is imposed by extrapolating the confining potential linearly for distances r > r/sub 0/. Thus, aside from the quark masses, m/sub c/ and m/sub b/, the model contains two free parameters: the renormalization mass ..lambda.., and the extrapolation radius r/sub 0/. With ..lambda.. = 441 MeV, r/sub 0/ = .378 fm, m/sub c/ = 1.525 GeV, and m/sub b/ = 4.929 GeV the observed orthocharmonium and orthobottomium spectrum are reproduced very well. This can be viewed as evidence for the validity of the framework of quantum chromodynamics. 32 references.

• Research Organization: Massachusetts Inst. of Tech., Cambridge (USA). Center for Theoretical Physics; European Organization for Nuclear Research, Geneva (Switzerland)
• Sponsoring Organization: USDOE
• DOE Contract Number: EY-76-C-02-3069
• OSTI ID: 5970977
• Report Number(s): CONF-790847-2; TRN: 79-019603
• Resource Relation: Conference: International conference on high energy physics and nuclear structure, Vancouver, Canada, 13 Aug 1979
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARMED MESON RESONANCES
ELECTROMAGNETIC PARTICLE DECAY
LEPTONIC DECAY
CHARMONIUM
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QUANTUM CHROMODYNAMICS
QUARKS
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ANGULAR MOMENTUM
BASIC INTERACTIONS
BOSONS
CHARM PARTICLES
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ELASTIC SCATTERING
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ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
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