Charmonium states in a coupled-channel model

Abstract

We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the ${}^3{P}_0$ quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the $c\bar{c}$ component, and open-charm decay widths are provided. The $S$-$D$ wave mixing angles and di-electric decay widths for vector mesons are also presented. Based on our results, we find that the $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, $\psi (4360)$, and $\psi (4415)$ can be assigned as the $1^3{D}_1$-, $3^3{S}_1$-, $2^3{D}_1$-, $4^3{S}_1$-, and $3^3{D}_1$-dominated charmonium states, respectively. The ${\psi }_3(3842)$ is a good candidate of the ${\psi }_3(1D)$ charmonium state. The calculated mass and strong decay width of ${\chi }_{c1}(2P)$ with significant continuum contribution ($\sim$57\%) favor the charmonium interpretation for the mysterious ${\chi }_{c1}(3872)$. When considering the large uncertainty in the observed decay width, the possibility to assign the ${\chi }_{c0}(3860)$ as the ${\chi }_{c0}(2P)$ charmonium state cannot be ruled out. One may describe well the properties of ${\chi }_{c2}(3930)$ with the ${\chi }_{c2}(2P)$ charmonium. The predictions on properties of other $c\bar{c}$ states can be tested by future experiments.

19 pages,1 figure, 12 tables

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• Higher ${\eta }_c(nS)$ and ${\eta }_b(nS)$ mesons
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Cited by in corpus (8)

• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
• 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
• Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons
• Systematic analysis of the D-wave charmonium states with the QCD sum rules
• Proposed mixing between $2P$ and $1F$ wave charmonia