Search for missing $\psi(4S)$ in the $e^+e^-\to \pi^+\pi^-\psi(2S)$ process

A detailed analysis to find a missing $ψ (4 S)$ is made by utilizing the recent precise mesurements of the cross section for the process $e^+e^-\to \psi(2S)\pi^+\pi^- $b y B e l l e . A s s u m i n g t h r e e r e s o n a n c e s$ Y(4360) $,$ Y(4660)$, and $ψ (4 S)$ to fit the data, we obtain the resonance parameters for $ψ (4 S)$ as $m = 4243$ MeV and $Γ = 16 \pm 31$ MeV showing a narrow state as predicted before. A combined fit to the data $e^+ e^- \to \psi(2S) \pi^+ \pi^-, \ h_c \pi^+ \pi^- $, a n d$ \chi_{c0} \omega$ is also performed to obtain the similar resonance parameters of $ψ (4 S)$ . The upper limit of the branching ratio is fitted to be $ $B$ (\psi(4S)\to\psi(2S)\pi^+\pi^-) < 3\times 10^{-3}$, which can be understood by hadronic loop contributions in reasonable parameters range. In addition, the ratios of the branching ratios of the $ψ (4 S)$ dipion transition to the one of $ψ (4 S) \to χ_{c 0} ω$ are fitted, which can be further measured by BESIII and forthcoming BelleII to confirm the existence of $ψ (4 S)$ .

Search for missing $ψ (4 S)$ in the $e^{+} e^{-} \to π^{+} π^{-} ψ (2 S)$ process

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Search for missing $ψ (4 S)$ in the $e^{+} e^{-} \to π^{+} π^{-} ψ (2 S)$ process

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Search for missing ψ(4S)ψ(4S) in the e+e−→π+π−ψ(2S)e+e−→π+π−ψ(2S) process

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Search for missing ψ(4S)ψ(4S) in the e+e−→π+π−ψ(2S)e+e−→π+π−ψ(2S) process

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Search for missing $ψ (4 S)$ in the $e^{+} e^{-} \to π^{+} π^{-} ψ (2 S)$ process

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Search for missing $ψ (4 S)$ in the $e^{+} e^{-} \to π^{+} π^{-} ψ (2 S)$ process

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