Scalar charmonium and glueball mixing in $e^+ e^-\to J/ψX$

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 ($α= -1.1^{+0.8}_{-0.6}$) of the exclusive $e^+e^-\to J/ψχ_{c0}$ process observed by Belle experiments at KEKB. We calculate the helicity amplitudes for the process $e^+ e^- \to J/ψH(0^{++})$ 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.

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