Observation of $e^+e^-\to χ_{c0}ω$ and missing higher charmonium $ψ(4S)$

Stimulated by the recent BESIII observation of a new resonance in $e^+ e^- \to ωχ_{c0}$ and by the fact that this state is consistent with our predicted $ψ(4S)$, in this work we estimate the meson loop contribution to $ψ(4S) \to ωχ_{c0}$. The evaluation indicates that our theoretical estimate can overlap with the experimental data in a reasonable parameter range. This fact shows that introduction of the missing higher charmonium $ψ(4S)$ provides a possible explanation to the recent BESIII observation. The upper limit of a branching ratio of $ψ(4S) \to ηJ/ψ$ is also predicted as $1.9 \times 10^{-3}$, which can be further tested by BESIII, Belle and forthcoming BelleII.

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