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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/j.physletb.2004.05.027

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 ($\alpha= -1.1^{+0.8}_{-0.6}$) 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.

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