Mass spectrum of $1^{--}$ heavy quarkonium

Abstract

We calculate the masses and leptonic decay widths of the bottomonium $b\bar{b}$ and charmonium $c\bar{c}$ states in a constituent quark model where the Cornell-like potential and spin-dependent interaction are employed, with all model parameters predetermined by studying ground and first radial excited states of S- and P-wave heavy quarkonium mesons. By comparing the theoretical predictions for $J^{PC}=1^{--}$ quarkonium states with experimental data and considering possible mixtures of $nS$ and $(n-1)D$ states, we provide tentative assignments for all observed $J^{PC}=1^{--}$ heavy quarkonia. The work suggests that the ${\rm Y}$(10860) and ${\rm Y}$(11020) are $b\bar{b}$ $5S-4D$ mixture states, and the $\psi$(4360) and $\psi$(4415) are largely $4S$ and $3D$ $c\bar{c}$ states respectively. The $\psi$(4260) may not be accommodated with the conventional meson picture in the present work.

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• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Bottomonia in an unquenched quark model
• Predictions for Bottomonium from a Relativistic Screened Potential Model
• Is the $3S$-$2D$ mixing strong for the charmonia $\psi (4040)$ and $\psi (4160)$?
• Beauty Hadron Spectrum in a Screened Potential Model
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• A Classical Interpretation of the Nonrelativistic Quark Potential Model: Color Charge Definition and the Meson Mass-Radius Relationship
• Exotic hadrons associated with $b$-quark