| Summary: | In this work, we predict the line shape of potential fully-heavy structures existed in the invariant mass spectrum of J/ψψ(3686), J/ψψ(3770), ψ(3686)ψ(3686), and J/ψϒ(1S) at high energy proton-proton collisions based on a dynamical rescattering picture, whose verification in experiments should be helpful to further clarify the dominant role in producing fully-charm structure X(6900) recently observed by LHCb. The above final states of vector heavy quarkonia can be experimentally reconstructed more effectively by a μ+μ− pair in the muon detector compared with QQ¯ meson with other quantum numbers. Furthermore, the corresponding peak mass positions of each of predicted fully-heavy structures are also given. Our theoretical studies here could provide some valuable information for the future measurement proposals of LHCb and CMS, especially based on the accumulated data after completing Run III of LHC in the near future.
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