Production of charmonium ${\chi }_{cJ}(2P)$ plus one $\omega$ meson by $e^{+}{e}^{-}$ annihilation

Abstract

Inspired by the recent observation of $e^{+}{e}^{-}\to \omega X(3872)$ by the BESIII Collaboration, in this work we study the production of the charmonium ${\chi }_{cJ}(2P)$ by $e^{+}{e}^{-}$ annihilation. We find that the $e^{+}{e}^{-}\to \omega {\chi }_{c0}(2P)$ and $e^{+}{e}^{-}\to \omega {\chi }_{c2}(2P)$ have sizable production rates, when taking the cross section data from $e^{+}{e}^{-}\to \omega X(3872)$ as the scaling point and treating the $X(3872)$ as the charmonium ${\chi }_{c1}(2P)$. Considering that the dominant decay modes of ${\chi }_{c0}$ and ${\chi }_{c2}(2P)$ involve $D\bar{D}$ final states, we propose that $e^{+}{e}^{-}\to \omega D\bar{D}$ is an ideal process to identify ${\chi }_{c0}(2P)$ and ${\chi }_{c2}(2P)$, which is similar to the situation that happens in the $D\bar{D}$ invariant mass spectrum of the $\gamma \gamma \to D\bar{D}$ and $B^{+}\to D^{+}{D}^{-}{K}^{+}$ processes. With continuous accumulation of experimental data, these proposed production processes offer a promising avenue for exploration by the BESIII and Belle II collaborations.

7 pages and 6 figures. Accepted by Phys. Rev. D for publication

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Cited by in corpus (4)

• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• 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