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.

References in corpus (18)

• Pentaquark and Tetraquark states
• Constituent quark model study of the meson spectra
• Higher Charmonia and X,Y,Z states with Screened Potential
• Excited and exotic charmonium spectroscopy from lattice QCD
• Quarkonia and their transitions
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Excited heavy tetraquarks with hidden charm
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Canonical Charmonium Interpretation for Y(4360) and Y(4660)
• Observation of the $Y(4230)$ and a new structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• On the possibility of Deeply Bound Hadronic Molecules from single Pion Exchange
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• Interpretation of $Y_b(10750)$ as a tetraquark and its production mechanism
• Observation of $e^{+}{e}^{-}\to \omega {\chi }_{bJ}(1P)$ and search for $X_b\to \omega {\rm Y}(1S)$ at $\sqrt{s}$ near 10.75 GeV
• Charmonium spectrum and new observed states
• Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Determination of parameters of a potential model for tetraquark study by studying all S-wave mesons

Cited by in corpus (8)

• 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