Hybrid Charmonium and the $\rho -\pi$ Puzzle

Abstract

Using the method of QCD Sum Rules, we estimate the energy of the lowest hybrid Charmonium state, and find it to be at the energy of the ${\Psi }^{\prime }(2S)$ state, about 600 Mev above the $J/\Psi (1S)$ state. Since our solution is not consistent with a pure hybrid at this energy, we conclude that the ${\Psi }^{\prime }(2S)$ state is probably an admixed $c\bar{c}$ and hybrid $c\bar{c}g$ state. From this conjecture we find a possible explanation of the famous $\rho -\pi$ puzzle.

9 pages, 7 figures

References in corpus (2)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006

Cited by in corpus (4)

• Mass Spectrum of Heavy Quarkonium Hybrids
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• The $\Lambda (1405)$ as a Hybrid
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model