Improved QCD-motivated heavy-quark potentials with explicit. Lambda. sub M S dependence

Journal Article · Sat Aug 01 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1165· OSTI ID:7106383

Chen, Y ^[1]; Kuang, Y ^[2]

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1. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080 (China)
2. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Modern Physics, Tsinghua University, Beijing 100084 (China)

We propose two models for a heavy-quark potential with possible natural QCD interpretations. The potentials approach the two-loop perturbative QCD formula at short distance and a linear confining potential at large distance, and their predicted {ital c{bar c}} and {ital b{bar b}} spectra all fit the data very well for {Lambda}{sub M{bar S}} in the range 100--500 MeV, where M{bar S} denotes the modified minimal subtraction scheme. Furthermore, the potentials are described directly in coordinate space with explicit {Lambda}{sub M{bar S}} dependence so that they are convenient for practical calculations. Some of their phenomenological predictions are given, especially, in the picture regarding a confining potential as a scalar exchange. The predicted masses of {psi} (1 {sup 1}{ital P}{sub 1}) and {Upsilon}(1 {sup 1}{ital P}{sub 1}) are higher than the center-of-gravity values of the 1 {sup 3}{ital P}{sub {ital J}} states by 0.9--1.8 MeV and 0.4--0.7 MeV, respectively, for {Lambda}{sub M{bar S}} in the range 100--200 MeV.

• OSTI ID: 7106383
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:3; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
662340 -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MESONS
PARAMETRIC ANALYSIS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARKONIUM
QUARKS
STRING MODELS
VECTOR MESONS