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Quarkonia and quantum chromodynamics

Authors Buchmüller, Wilfried
Tye, Henry View this author's profile
Issue Date 1981
Source Physical Review D , 24, 1, July 1981, p. 132-156
Summary The ψ and Υ spectroscopies are analyzed in the framework of a recently proposed potential model which incorporates linear confinement and asymptotic freedom. Given the Regge slope α′ (α′ taken to be 1 GeV−2) and the quantum-chromodynamics (QCD) scale parameter Λ (ΛMS taken to be 0.5 GeV, where MS refers to the modified minimal-subtraction scheme) the potential is completely determined. Excellent agreement with experiment is found, including in particular leptonic widths and hyperfine splittings. This supports a short-distance behavior of the quark-antiquark potential as predicted by QCD. We also demonstrate in a model-independent way that the Ψ and Υ spectra provide a lower bound on the QCD scale parameter Λ; we find ΛMS > 0.1 GeV. The properties of (bc¯) and possible (tt¯), (tc¯), and (tb¯) spectroscopies are studied, including weak-interaction effects. The implications of the Ψ, Υ, and possible heavier quarkonium families for quantitative tests of QCD are discussed. It is shown that a (tt¯) system with m(tt¯)≥40 GeV would provide an accurate determination of ΛMS.
ISSN 1550-7998
Rights © 1981 American Physical Society
Language English
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