Revisiting the production of charmonium plus a light meson at PANDA

Abstract

In this work, we calculate the total cross sections and the center-of-mass frame angular distributions of the charmonium production plus a light meson by the low energy $p\bar{p}$ interaction. The results of $p\bar{p}\to {\pi }^0\Psi$ with and without form factor (FF) indicate that the FF contribution in the calculation cannot be ignored. The obtained cross section of $p\bar{p}\to {\pi }^{0}J/\psi$ with FF can fit the E760 data well. We also predict the total cross sections and the center-of-mass frame angular distributions of $p\bar{p}\to \omega \Psi$, which show that these physical quantities are dependent on Pauli ($g_{\omega }$) and Dirac (${\kappa }_{\omega }$) coupling constants of the $pp\omega$ interaction. Thus, $p\bar{p}\to \omega \Psi$ can be as the ideal channel to test the different theoretical values of $g_{\omega }$ and ${\kappa }_{\omega }$. Applying the formulae of $p\bar{p}\to {\pi }^0\Psi$ and $p\bar{p}\to \omega \Psi$, we predict the total cross sections of the $p\bar{p}\to \eta \Psi$ and $p\bar{p}\to \rho \Psi$ reactions. Our results show a common behavior of the charmonium production with a light meson by the $p\bar{p}$ interaction, where the total cross section of the ${\eta }_c$ production is the largest one among all discussed processes. The above observations can be directly tested at the forthcoming $\bar{P}$ANDA experiment.

arXiv comment10 pages, 2 tables, 9 figures. Version published in Phys. Rev. D

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Cited by in corpus (9)

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• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• QCD description of charmonium plus light meson production in antiproton-nucleon annihilation
• Probing charmonium-like state $X(3915)$ through meson photoproduction
• Implication of the observed $\psi (3770)\to p\bar{p}{\pi }^0$ for studying the $p\bar{p}\to \psi (3770){\pi }^0$ process
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction
• The nucleon resonances in the $J/\psi \to p\bar{p}{\eta }^{\prime }$ decay
• Nucleon-to-pion transition distribution amplitudes: a challenge for PANDA
• Role of the low-lying nucleon resonances in the $p\bar{p}\to \psi \eta$ reaction