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

Abstract

A detailed analysis to find a missing $\psi (4S)$ is made by utilizing the recent precise mesurements of the cross section for the process $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$ by Belle. Assuming three resonances $Y(4360)$, $Y(4660)$, and $\psi (4S)$ to fit the data, we obtain the resonance parameters for $\psi (4S)$ as $m=4243$ MeV and $\Gamma =16\pm 31$ MeV showing a narrow state as predicted before. A combined fit to the data $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-},h_c{\pi }^{+}{\pi }^{-}$, and ${\chi }_{c0}\omega$ is also performed to obtain the similar resonance parameters of $\psi (4S)$. The upper limit of the branching ratio is fitted to be $\mathcal{B}(\psi (4S)\to \psi (2S){\pi }^{+}{\pi }^{-})<3\times 10^{-3}$, which can be understood by hadronic loop contributions in reasonable parameters range. In addition, the ratios of the branching ratios of the $\psi (4S)$ dipion transition to the one of $\psi (4S)\to {\chi }_{c0}\omega$ are fitted, which can be further measured by BESIII and forthcoming BelleII to confirm the existence of $\psi (4S)$.

9 pages, 10 figures

References in corpus (13)

• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Higher Charmonia and X,Y,Z states with Screened Potential
• Measurement of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (2S)$ via Initial State Radiation at Belle
• Study of $e^{+}{e}^{-}\to \omega {\chi }_{cJ}$ at center-of-mass energies from 4.21 to 4.42 GeV
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Evidence for resonant structures in e+e- to pi+pi-h_c
• Prediction of a missing higher charmonium around 4.26 GeV in $J/\psi$ family
• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• Explaining the anomalous ${\rm Y}(5S)\to {\chi }_{bJ}\omega$ decays through the hadronic loop effect
• Isospin violation in $\varphi ,J/\psi ,{\psi }^{\prime }\to \omega {\pi }^0$ via hadronic loops
• Search for $\psi (4S)\to \eta J/\psi$ in $B^\pm \ra ηJ/ψK^\pm$ and $e^{+}{e}^{-}\to \eta J/\psi$ processes

Cited by in corpus (14)

• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Strong decays of higher charmonium states into open-charm meson pairs
• Are the $Y$ states around 4.6 GeV from $e^{+}{e}^{-}$ annihilation higher charmonia?
• Interference effect as resonance killer of newly observed charmoniumlike states $Y(4320)$ and $Y(4390)$
• Where are ${\chi }_{cJ}(3P)$?
• General mathematical analysis on multiple solutions of interfering resonances combinations
• Role of $Y(4630)$ in the $p\bar{p}\to {\Lambda }_c{\bar{\Lambda }}_c$ reaction near threshold
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction
• Reevaluating the $\psi (4160)$ Resonance Parameter Using $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ Data in the Context of Unquenched Charmonium Spectroscopy
• $D$ wave charmonia
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Cross section measurement of $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\psi (3686)$ from $\sqrt{s}=$ 4.008 GeV to 4.951 GeV