High Energy Physics - Phenomenology
[Submitted on 13 Apr 2023 (v1), last revised 11 Jan 2024 (this version, v3)]
Title:Mass spectrum of $1^{--}$ heavy quarkonium
View PDF HTML (experimental)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 $\Upsilon$(10860) and $\Upsilon$(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.
Submission history
From: Zheng Zhao [view email][v1] Thu, 13 Apr 2023 03:36:49 UTC (21 KB)
[v2] Thu, 27 Apr 2023 01:46:45 UTC (23 KB)
[v3] Thu, 11 Jan 2024 07:51:46 UTC (27 KB)
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