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Reaction $e^{+} e^{-} \to \bar{D} D$ and $ψ^{'}$ mesons

A. Limphirat^1,2,*, W. Sreethawong^1,2, K. Khosonthongkee^1,2, and Y. Yan^1,2

¹School of Physics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand
²Thailand Center of Excellence in Physics (ThEP), Commission on Higher Education, Bangkok 10400, Thailand

^*ayut@g.sut.ac.th

Phys. Rev. D 89, 054030 – Published 24 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.054030

Abstract

We study the reaction $e^{+} e^{-} \to \bar{D} D$ near threshold in the ${{}^{3}P}_{0}$ nonrelativistic quark model, including as intermediate states the $J / ψ$ , $ψ (2 S)$ , $ψ (3770)$ , and $ψ (4040)$ mesons. The work reveals that experimental data strongly favor one of the two $ψ (2 S) - ψ (3770)$ mixing angles derived by fitting to the $e^{-} e^{+}$ partial decay widths of the $ψ (2 S)$ and $ψ (3770)$ mesons. The meson $X (3940)$ as well as the resonance around 3.9 GeV observed by the Belle and BABAR Collaborations in the reaction $e^{+} e^{-} \to \bar{D} D$ is unlikely to be a $c \bar{c} I^{G} (J^{P C}) = 0^{-} (1^{- -})$ state.

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Reaction $e^{+} e^{-} \to \bar{D} D$ and $ψ^{'}$ mesons

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Reaction e+e−→D¯D and ψ′ mesons

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Reaction $e^{+} e^{-} \to \bar{D} D$ and $ψ^{'}$ mesons