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Charmonium states in a coupled-channel model
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abstract
We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the $^3P_0$ 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 $1^3D_1$-, $3^3S_1$-, $2^3D_1$-, $4^3S_1$-, and $3^3D_1$-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.
Forward citations
Cited by 5 Pith papers
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Open-flavor threshold effects on quarkonium spectrum in the BOEFT
BOEFT quantifies threshold-induced shifts in quarkonium masses below threshold by solving coupled Schrödinger equations using lattice potentials and one parameter fixed to the χ_c1(3872) mass.
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Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
A QCD sum-rule calculation predicts B_c semileptonic branching ratios to D-wave charmonia of order 10^-3 (ψ1), 10^-4 (ψ2 and η_c2), and 10^-5 (ψ3), decreasing with final-state angular momentum.
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Proposed mixing between $2P$ and $1F$ wave charmonia
Unquenched calculation finds sizable 2P-1F mixing in charmonium with angles 7.5° and 15.4°, yielding predictions for two-photon and two-gluon decay widths.
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Proposed mixing between $2P$ and $1F$ wave charmonia
Unquenched coupled-channel calculations yield sizable 2P–1F mixing angles of 7.5° and 15.4° for the χ_c2 charmonia, with predicted two-photon and two-gluon widths as experimental tests.
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Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons
Born-Oppenheimer approximation calculations for doubly heavy hadrons match Gaussian expansion benchmarks at small heavy quark masses but diverge at larger masses, with Slater-type functions overestimating and Gaussian...
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