101. InclusiveJ/ψproduction ate+e−colliders
- Author
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E. Kou, Kaoru Hagiwara, Z.-H. Lin, G.-H. Zhu, and Cong-Feng Qiao
- Subjects
Nuclear physics ,Physics ,Renormalization ,Density matrix ,Momentum ,Nuclear and High Energy Physics ,Particle physics ,Annihilation ,Meson production ,High Energy Physics::Phenomenology ,High Energy Physics::Experiment ,Production (computer science) ,Energy (signal processing) - Abstract
Inclusive $J/\ensuremath{\psi}$ production in ${e}^{+}{e}^{\ensuremath{-}}$ annihilation is studied in the framework of NRQCD. We first review the leading-order calculations of the cross sections for ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}c\overline{c}$ and ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}\mathrm{gg}$ and find that their ratio is about 1:1.5 at $\sqrt{s}\ensuremath{\simeq}10\mathrm{GeV}.$ This result is in conflict with the current measurements by the Belle Collaboration, which finds that the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}c\overline{c}$ accounts for about 2/3 of all the prompt $J/\ensuremath{\psi}'s.$ We find that the discrepancy problems in the total rate as well as in the $J/\ensuremath{\psi}$ momentum distributions can be resolved by postulating a large renormalization K factor $(K\ensuremath{\simeq}4)$ for the $J/\ensuremath{\psi}c\overline{c}$ cross section and by taking into account collinear suppression in the end-point energy region of $J/\ensuremath{\psi}\mathrm{gg}$ production. Detailed studies of the model predictions in terms of the density matrix are performed and various momentum and angular distributions are presented as functions of the K factors. These distributions can be used to determine the normalizations of each subprocess provided that the production and decay angular distributions do not alter much by higher-order corrections.
- Published
- 2004
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