Scalar charmonium and glueball mixing in $e^{+}{e}^{-}\to J/\psi X$

Abstract

We study the possibility of the scalar charmonium and glueball mixing in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6$ GeV. The effects can be used to explain the unexpected large cross section ($12\pm 4$ fb) and the anomalous angular distribution ($\alpha =-1.1_{-0.6}^{+0.8}$) of the exclusive $e^{+}{e}^{-}\to J/\psi {\chi }_{c0}$ process observed by Belle experiments at KEKB. We calculate the helicity amplitudes for the process $e^{+}{e}^{-}\to J/\psi H(0^{++})$ in NRQCD, where $H(0^{++})$ is the mixed state. We present a detailed analysis on the total cross section and various angular asymmetries which could be useful to reveal the existence of the scalar glueball state.

Comments: 10 pages, 4 figures,references updated,typos corrected. Published Version: Phys. Lett. B 594, 118-126 (2004)