Searching for the Bottom Counterparts of X(3872) and Y(4260) via ${\pi }^{+}{\pi }^{-}{\rm Y}$

Abstract

The X(3872) and Y(4260), among a host of charmonium-like mesons, have rather unusual properties: the former has very small total width, the latter has large rate into ${\pi }^{+}{\pi }^{-}J/\psi$ channel. It would not be easy to settle between the many suggested explanations for their composition. We point out that discovering the bottom counterparts should shed much light on the issue. The narrow state can be searched for at the Tevatron via $p\bar{p}\to {\pi }^{+}{\pi }^{-}{\rm Y}+X$, but the LHC should be much more promising. The state with large overlap with ${\rm Y}$ can be searched for at B factories via radiative return $e^{+}{e}^{-}\to {\gamma }_{\mathrm{ISR}}+{\pi }^{+}{\pi }^{-}{\rm Y}$ on ${\rm Y}(5S)$, or by $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\rm Y}$ direct scan.

4 pages, no figures, version to appear in PRD; expanded, including comments on LHCb

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