Revisiting the production of charmonium plus a light meson at PANDA

TL;DR

This paper calculates cross sections and angular distributions for charmonium plus light meson production in proton-antiproton interactions, highlighting the importance of form factors and the potential to test coupling constants at PANDA.

Contribution

It provides detailed theoretical predictions for various charmonium-light meson production channels, emphasizing the role of form factors and coupling constants, and offers testable predictions for PANDA experiments.

Findings

Form factor contributions are significant in cross section calculations.

The $par{p} o ho ext{ or } ext{light meson} + ext{charmonium}$ processes show dependence on coupling constants.

The $ ext{eta}_c$ production has the largest cross section among studied channels.

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.