Connection between near the $D_s^+D_s^-$ threshold enhancement in $B^+   \to D_s^+D_s^-K^+$ and conventional charmonium $\chi_{c0}(2P)$

Dan Guo; Jun-Zhang Wang; Dian-Yong Chen; Xiang Liu

arXiv:2210.16720·hep-ph·November 30, 2022·1 cites

Connection between near the $D_s^+D_s^-$ threshold enhancement in $B^+ \to D_s^+D_s^-K^+$ and conventional charmonium $\chi_{c0}(2P)$

Dan Guo, Jun-Zhang Wang, Dian-Yong Chen, Xiang Liu

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TL;DR

This paper proposes that the near-threshold enhancement in the $D_s^+D_s^-$ spectrum from $B^+ o D_s^+D_s^-K^+$ decays is due to the $ ext{chi}_{c0}(2P)$ charmonium state, supported by a combined spectral fit and wave function analysis.

Contribution

It introduces the $ ext{chi}_{c0}(2P)$ as the explanation for the near-threshold enhancement and demonstrates its fit to experimental data, considering other charmonium states and wave function effects.

Findings

01

The $ ext{chi}_{c0}(2P)$ can reproduce the near-threshold enhancement.

02

Higher charmonium states like $ ext{psi}(4230)$ and $X_0(4140)$ are also significant.

03

The node effect of the $ ext{chi}_{c0}(2P)$ wave function explains the observed decay ratio anomaly.

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…

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Taxonomy

TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research