Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-11-12
Phys.Lett.B557:45-54,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 4 figures. A few references added, errors and typoes corrected
Scientific paper
10.1016/S0370-2693(03)00176-X
Using the nonrelativistic QCD(NRQCD) factorization formalism, we calculate the color-singlet cross sections for exclusive production processes ${e^++e^-\to J/\psi+\eta_c}$~ and ~$e^++e^-\to J/\psi + \chi_{cJ}$~$(J=0,1,2)$ at the center-of-mass energy $\sqrt{s}$=10.6 GeV. The cross sections are estimated to be 5.5fb, 6.7fb, 1.1fb, and 1.6fb for $\eta_c, \chi_{c0}, \chi_{c1}$ and $\chi_{c2}$, respectively. The calculated $J/\psi+\eta_c$ production rate is smaller than the recent Belle data by about an order of magnitude, which might indicate the failure of perturbative QCD calculation to explain the double-charmonium production data. The complete $\cal{O}$$(\alpha^2_{s})$ color-singlet cross section for ${e^++e^-\to \chi_{c0}+ c\bar {c}}$ is calculated. In addition, we also evaluate the ratio of exclusive to inclusive production cross sections. The ratio of $J/\psi\eta_c$ production to $J/\psi c\bar{c}$ production could be consistent with the experimental data.
Chao Kuang-Ta
He Zhi-Guo
Liu Kui-Yong
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