$\eta_{\rm c}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture

TL;DR

This paper investigates bound states of $$- and $J/$-isoscalar mesons within the hadro-charmonium framework, modeling interactions via QCD multipole expansion and comparing predictions with experimental data.

Contribution

It introduces a detailed calculation of meson bound states using the hadro-charmonium model and QCD multipole expansion, providing new insights into their spectrum and experimental relevance.

Findings

Calculated spectrum of meson bound states matches some experimental data.

Identified the dominant E1 interaction as key to binding mechanisms.

Provided theoretical predictions for future experimental verification.

Abstract

We study $\eta_{\rm c}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture. In the hadro-charmonium, the four $q\bar q c \bar c$ quarks are arranged in terms of a compact charm-anticharm pair, $c \bar c$, embedded in light hadronic matter, $q \bar q$, with $q = u$, $d$ or $s$. The interaction between the charmonium core and the light matter can be written in terms of the multipole expansion in QCD, with the leading term being the $E1$ interaction with chromo-electric field ${\bf E}^a$. The spectrum of $\eta_{\rm c}$- and $J/\psi$-isoscalar meson bound states is calculated and the results compared with the existing experimental data.