Is the existence of a $J/\psi J/\psi$ bound state plausible?

Abstract

In a recent measurement LHCb reported pronounced structures in the $J/\psi J/\psi$ spectrum. One of the various possible explanations of those is that they emerge from non-perturbative interactions of vector charmonia. It is thus important to understand whether it is possible to form a bound state of two charmonia interacting through the exchange of gluons, which hadronise into two pions at the longest distance. In this paper, we demonstrate that, given our current understanding of hadron-hadron interactions, the exchange of correlated light mesons (pions and kaons) is able to provide sizeable attraction to the di-$J/\psi$ system, and it is possible for two $J/\psi$ mesons to form a bound state. As a side result we find from an analysis of the data for the $\psi (2S)\to J/\psi \pi \pi$ transition including both $\pi \pi$ and $K\bar{K}$ final state interactions an improved value for the $\psi (2S)\to J/\psi$ transition chromo-electric polarisability: $|α_{ψ(2S)J/ψ}|= (1.8\pm 0.1)~\mbox{GeV}^{-3}$, where the uncertainty also includes the one induced by the final state interactions.

11 pages, 7 figures, version to appear in Sci. Bull

References in corpus (13)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Heavy tetraquarks in the relativistic quark model
• Dispersive analysis of the scalar form factor of the nucleon
• First lattice study of low-energy charmonium-hadron interaction
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Sigma exchange in the nuclear force and effective field theory
• X(6200) as a compact tetraquark in the QCD string model
• Insights into $Z_b(10610)$ and $Z_b(10650)$ from dipion transitions from ${\rm Y}(10860)$
• Chromo-polarizability and pipi final state interaction
• Chromopolarizability of charmonium and $\pi \pi$ final state interaction revisited

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