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Very recently, the CMS Collaboration reported a peaking phenomenon existingin the di-$J/\psi$ invariant mass spectrum from $pp$ collision, by which the$X(6900)$ structure announced by the LHCb Collaboration was confirmed, but alsomore enhancement structures were discovered. Facing such a novel phenomenon, inthis work we indicate that these new features reflected from the CMSmeasurement provide a good implication for a dynamical mechanism whichreproduces the novel peaking phenomenon in the reported $J/\psi$-pair massspectrum well. This mechanism is due to special reactions, where differentcharmonium pairs directly produced by $pp$ collision may transit into the finalstate of $J/\psi J/\psi$. The present work provides a special viewpoint todecode these observed fully charm structures in the $J/\psi$-pair invariantmass spectrum.

Improved understanding of the peaking phenomenon existing in the new di-$J/\psi$ invariant mass spectrum from the CMS Collaboration