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

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 ${\mathrm{\Gamma }}_{ee}(\mathrm{{\rm Y}}(10580))$ and ${\mathrm{\Gamma }}_{ee}(\mathrm{{\rm Y}}(11020))$. 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 $\widetilde{\mathrm{{\rm Y}}}(n^3{D}_1$) resonances ($n=3,4,5$), which originate from pure $D-$wave states. The value ${\mathrm{\Gamma }}_{ee}(\widetilde{\mathrm{{\rm Y}}}(3D))=0.095_{-0.025}^{+0.028}$ keV is obtained, being only $\sim 3$ times smaller than the di-electron width of $\mathrm{{\rm Y}}(10580)$, while ${\mathrm{\Gamma }}_{ee}(\widetilde{\mathrm{{\rm Y}}}(5D))\sim 135$ eV appears to be close to ${\mathrm{\Gamma }}_{ee}(\mathrm{{\rm Y}}(11020))$ 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.