Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes

Abstract

In this work, we investigate the production of charmonium $2P$ states via the $e^{+}{e}^{-}\to \gamma D\bar{D}$ process at $\sqrt{s}=4.23$ GeV. Using the measured cross-section data for $e^{+}{e}^{-}\to \gamma X(3872)$ as a reference, we calculate the cross sections for $e^{+}{e}^{-}\to \gamma {\chi }_{c0}(2P)$ and $e^{+}{e}^{-}\to \gamma {\chi }_{c2}(2P)$. Since the ${\chi }_{c0}(2P)$ and ${\chi }_{c2}(2P)$ states predominantly decay into $D\bar{D}$ final states, we also predict the corresponding $D\bar{D}$ invariant mass spectrum for the $e^{+}{e}^{-}\to \gamma D\bar{D}$ process. Our results indicate that $e^{+}{e}^{-}\to \gamma D\bar{D}$ is an ideal process for identifying the ${\chi }_{c0}(2P)$ and ${\chi }_{c2}(2P)$ states, analogous to the $\gamma \gamma \to D\bar{D}$ and $B^{+}\to D^{+}{D}^{-}{K}^{+}$ processes. This study highlights the discovery potential of charmonium $2P$ states at BESIII and Belle II.

10 pages, 3 figures and 2 tables. More contents added. Accepted by Phys. Rev. D

References in corpus (15)

• Higher Charmonia and X,Y,Z states with Screened Potential
• Precise measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ cross section at center-of-mass energies from 3.77 to 4.60 GeV
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Where is the χ_{c0}(2P)?
• Study of $e^{+}{e}^{-}\to \gamma \omega J/\psi$ and Observation of $X(3872)\to \omega J/\psi$
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Study on contributions of hadronic loops to decays of $J/\psi \to$ vector $+$ pseudoscalar mesons
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Is the X(3915) the chi_{c0}(2P)?
• Prediction of a missing higher charmonium around 4.26 GeV in $J/\psi$ family
• Are the $Y$ states around 4.6 GeV from $e^{+}{e}^{-}$ annihilation higher charmonia?
• Long-distant contribution and ${\chi }_{c1}$ radiative decays to light vector meson
• Does the enhancement observed in $\gamma \gamma \to D\bar{D}$ contain two $P$-wave higher charmonia?
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV

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• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Proposed mixing between $2P$ and $1F$ wave charmonia
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter