Sum rules for charmonium and charmed mesons in quantum chromodynamics

V. A. Novikov, L. B. Okun', M. A. Shifman, A. I. Vainshtein, M. B. Voloshin, V. I. Zakharov

Research output: Contribution to journalArticlepeer-review

140 Scopus citations


We consider the contribution of charmed quarks to vacuum polarization and to γγ scattering. In quantum chromodynamics the calculation is reliable for small photon momenta provided that the quark mass mc is large compared with the scale of the hadronic mass μ, 4mc2μ2. By the use of dispersion relations, the calculation is converted into a set of sum rules which impose model-independent upper bounds on the charmonium leptonic and photonic decay rates and enables one to estimate the hadronic widths as well. Weak leptonic decays of the charmed mesons are also estimated.

Original languageEnglish (US)
Pages (from-to)626-629
Number of pages4
JournalPhysical review letters
Issue number12
StatePublished - 1977


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