arXiv:2210.16720·v1·High Energy Physics — Phenomenology

Connection between near the $D_{s}^{+} D_{s}^{-}$ threshold enhancement in $B^{+} \to D_{s}^{+} D_{s}^{-} K^{+}$ and conventional charmonium $χ_{c 0} (2 P)$

Dan Guo🇨🇳 · Jun-Zhang Wang🇨🇳 · Dian-Yong Chen🇨🇳 · Xiang Liu🇨🇳

Abstract

Focusing on recent measurement of $B^{+} \to D_{s}^{+} D_{s}^{-} K^{+}$ process given by the LHCb Collaboration, we propose that this newly observed near the $D_{s}^{+} D_{s}^{-}$ threshold enhancement can be due to the contribution of the $χ_{c 0} (2 P)$ , which is a $P$ -wave charmonium below the $D_{s}^{+} D_{s}^{-}$ threshold. By performing a combined fit to the measured $D_{s}^{+} D_{s}^{-}$ , $D_{s}^{+} K^{+}$ , and $D_{s}^{-} K^{+}$ invariant mass spectra, introducing the $χ_{c 0} (2 P)$ can well reproduce the near threshold enhancement in the $D_{s}^{+} D_{s}^{-}$ invariant mass spectrum. When depicting the whole $D_{s}^{+} D_{s}^{-}$ invariant mass spectrum, the contributions from higher charmonium $ψ (4230)$ and charmoniumlike state $X_{0} (4140)$ are obvious. In addition, a charmed meson $D^{*} (3^{3} S_{1})$ with mass around 3015 MeV is found to be important to depict the $D_{s}^{-} K^{+}$ invariant mass spectrum well. Especially, the importance of node effect of the spatial wave function of the $χ_{c 0} (2 P)$ is revealed, by which the anomaly of the ratio $Γ (X \to D^{+} D^{-}) /Γ (X \to D_{s}^{+} D_{s}^{-})$ indicated by LHCb can be explained well. Finally, our scenario of the newly observed enhancement structure resulted from the $χ_{c 0} (2 P)$ is enforced.

Comments: 8 pages, 5 figures and 2 tables

Connection between near the Ds+​Ds−​ threshold enhancement in B+→Ds+​Ds−​K+ and conventional charmonium χc0​(2P)

Abstract

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Connection between near the $D_{s}^{+} D_{s}^{-}$ threshold enhancement in $B^{+} \to D_{s}^{+} D_{s}^{-} K^{+}$ and conventional charmonium $χ_{c 0} (2 P)$

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