Dynamic Properties of Charmonium

Abstract

Nonrelativistic quark models of charmonia are tested by comparison of theoretical charmonium decay constants, form factors, and $\gamma \gamma$ widths with experiment and lattice gauge computations. The importance of relativistic effects, a running coupling, and the correct implementation of bound state effects are demonstrated. We describe how an improved model and computational techniques resolve several outstanding issues in previous nonrelativistic quark models such as the use of `correction' factors in quark model form factors, artificial energy prescriptions in decay constant calculations, and ad hoc phase space modifications. We comment on the small experimental value of $f_{{\psi }^{\prime \prime }}$ and the D-wave component of the $J/\psi$. Decay constants and $\gamma \gamma$ widths for bottomonium are also presented.

22 pages, 22 ps figures (table entries corrected, text modified)

Cited by in corpus (14)

• Vector meson form factors and their quark-mass dependence
• Potential model calculations and predictions for heavy quarkonium
• Exotic and excited-state radiative transitions in charmonium from lattice QCD
• Two Photon Decays of Charmonia from Lattice QCD
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Mind the gap
• The decay constant of the first excited pion from lattice QCD
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• Meson and glueball spectra with the relativistic flux tube model
• Di-electron and two-photon widths in charmonium
• Two-photon width of eta_b, eta'_b and eta''_b from Heavy-Quark Spin Symmetry
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• η_b and η_c radiative decays in the Salpeter model with the AdS/QCD inspired potential
• Two-photon decay of pseudoscalar quarkonia