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Processes $e^+e^- \to c \bar c c \bar c$ and $e^+e^- \to J/ψ+gg$ at $\sqrt{s}=10.59$ GeV

A. V. Berezhnoy, A. K. Likhoded

TL;DR

This paper analyzes BELLE measurements of inclusive J/ψ production in e+e- annihilation at ~10.6 GeV, focusing on the channels J/ψ+gg and J/ψ+c cbar, and contrasts them with LO pQCD predictions. It compares two pQCD frameworks—wave-function–based factorization (color-singlet) and quark-hadron duality—along with a gluon-mass correction for J/ψ+gg, finding persistent underprediction of the data. It also estimates the production of the doubly charmed baryon Ξ_cc^*, using both methods, with predictions in the 0.1–0.2 pb range and potentially large yields at high luminosity. The results underscore unresolved gaps between theory and experiment, hinting at missing nonperturbative effects or dynamics, and provide testable predictions for Ξ_cc^* production at future facilities.

Abstract

BELLE Collaboration data for $J/ψ$ inclusive production in the processes $e^+e^-\to J/ψ+gg$ and $e^+e^-\to J/ψ+c\bar c$ have been discussed. These data have been compared with the predictions of two pQCD methods: the former method use the information about the $J/ψ$ wave function, the latter one do not use such information and is based on the quark-hadron duality hypothesis. Both these calculation methods lead to essential discrepancy between the theoretic predictions and the experimental data. The production cross section dependence on effective gluon mass has been investigated for the process $e^+e^-\to J/ψ+gg$. The production cross section of doubly charmed baryons $Ξ^{*}_{cc}$ has been estimated.

Processes $e^+e^- \to c \bar c c \bar c$ and $e^+e^- \to J/ψ+gg$ at $\sqrt{s}=10.59$ GeV

TL;DR

This paper analyzes BELLE measurements of inclusive J/ψ production in e+e- annihilation at ~10.6 GeV, focusing on the channels J/ψ+gg and J/ψ+c cbar, and contrasts them with LO pQCD predictions. It compares two pQCD frameworks—wave-function–based factorization (color-singlet) and quark-hadron duality—along with a gluon-mass correction for J/ψ+gg, finding persistent underprediction of the data. It also estimates the production of the doubly charmed baryon Ξ_cc^*, using both methods, with predictions in the 0.1–0.2 pb range and potentially large yields at high luminosity. The results underscore unresolved gaps between theory and experiment, hinting at missing nonperturbative effects or dynamics, and provide testable predictions for Ξ_cc^* production at future facilities.

Abstract

BELLE Collaboration data for inclusive production in the processes and have been discussed. These data have been compared with the predictions of two pQCD methods: the former method use the information about the wave function, the latter one do not use such information and is based on the quark-hadron duality hypothesis. Both these calculation methods lead to essential discrepancy between the theoretic predictions and the experimental data. The production cross section dependence on effective gluon mass has been investigated for the process . The production cross section of doubly charmed baryons has been estimated.

Paper Structure

This paper contains 4 sections, 19 equations, 4 figures.

Table of Contents

  1. Introduction.
  2. Process $e^{+}e^{-}\rightarrow J/\psi +c\bar{c}$.
  3. Process $e^{+}e^{-}\rightarrow J/\psi +gg$.
  4. Doubly charmed baryon production

Figures (4)

  • Figure 1: Feynman diagrams for the process $e^{+}e^{-}\rightarrow J/\psi +c\bar{c}$.
  • Figure 2: Feynman diagrams for the process $e^{+}e^{-}\rightarrow J/\psi +gg$.
  • Figure 3: The cross section distributions on $m_{gg}$ for $J/\psi +gg$-production in $e^{+}e^{-}$-annihilation for massless gluons ($m_{g}=0$, solid curve), as well as for massive ones ($m_{g}=1.18$ GeV, dashed curve).
  • Figure 4: The cross section distribution on the $(cc)_{\bar{3}}$-diquark momentum for the process $e^{+}e^{-}\rightarrow (cc)_{\bar{3}}+X$ at $\sqrt{s}=10.59$ GeV.