On the possibility to observe higher $n^3{D}_1$ bottomonium states in the $e^{+}{e}^{-}$ processes

Abstract

The possibility to observe new bottomonium states with $J^{PC}=1^{--}$ in the region $10.7-11.1$ GeV is discussed. The analysis of the di-electron widths shows that the $(n+1{)}^3{S}_1$ and $n^3{D}_1$ states ($n\ge 3$) may be mixed with a rather large mixing angle, $\theta \sim 30^{\circ }$ and this effect provides the correct values of ${\Gamma }_{ee}({\rm Y}(10580))$ and ${\Gamma }_{ee}({\rm Y}(11020))$. On the other hand, the $S-D$ mixing gives rise to an increase by two orders of magnitude of the di-electron widths of the mixed $\widetilde{{\rm Y}}(n^3{D}_1$) resonances ($n=3,4,5$), which originate from pure $D-$wave states. The value ${\Gamma }_{ee}(\widetilde{{\rm Y}}(3D))=0.095_{-0.025}^{+0.028}$ keV is obtained, being only $\sim 3$ times smaller than the di-electron width of ${\rm Y}(10580)$, while ${\Gamma }_{ee}(\widetilde{{\rm Y}}(5D))\sim 135$ eV appears to be close to ${\Gamma }_{ee}({\rm Y}(11020))$ and therefore this resonance may become manifest in the $e^{+}{e}^{-}$ experiments. The mass differences between $M(nD)$ and $M((n+1)S)(n=4,5)$ are shown to be rather small, $50\pm 10$ MeV.

arXiv comment5 pages, no figures

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• Dielectron widths of the S-, D-vector bottomonium states
• Bottomonium spectrum in the relativistic flux tube model
• The Hyperfine Splittings in Bottomonium and the $B_q(q=n,s,c)$ Mesons
• Magnetic moments of mesons
• Radial and orbital Regge trajectories in heavy quarkonia
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Relativistic theory of string breaking in QCD
• Dynamics of the quark-antiquark interaction and the universality of Regge trajectories
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• Bottomonia in an unquenched quark model
• Predictions for Bottomonium from a Relativistic Screened Potential Model
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• Beauty Hadron Spectrum in a Screened Potential Model
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission
• Exotic hadrons associated with $b$-quark