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Has Asymptotic Freedom Something to Do with Charmonium?

Sep, 1977
18 pages
Published in:
  • Nucl.Phys.B 135 (1978) 131-148
  • Published: 1978
DOI:
Report number:
  • SACLAY-DPh-T/77/98
reference search31 citations

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197819881998200820178401
Abstract: (Elsevier)
We analyse the effects of logarithmic corrections due to asymptotic freedom in the potential describing short-range forces in charmonium. This allows us to show that due to the size of the effective quark-gluon coupling ( α s (M J/Ψ 2 ) ⋍ 0.4 ), the wave function extensions are much larger than the region of space where asymptotic freedom really has predictive power. The resulting ambiguities in the spin-dependent medium-range forces are explored. Also, such a value of α s makes perturbative calculations of widths unreliable. We point out that the situation is not significantly improved for quark masses of 5 GeV. Indeed, below 20 GeV, short-range forces play a marginal role as compared to confinement forces.
  • QUARK: CHARMONIUM
  • POTENTIAL: CHARMONIUM
  • FIELD THEORY: ASYMPTOTIC FREEDOM
  • POTENTIAL
  • INTERPRETATION OF EXPERIMENTS
  • SPIN: FORCE
  • heavy quark
  • POSTULATED PARTICLE: ETA(C)
  • X(2830)
  • RENORMALIZATION GROUP
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