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We examine the couplings of quarkonium hybrids to heavy-light meson pairs inthe Born-Oppenheimer approximation for QCD. The lowest hybrid multipletsconsist of bound states of the $\Pi_u$ and $\Sigma_u^-$ potentials. We findthat the $\Sigma_u^-$ potential can couple to pairs of $S$-wave mesons throughstring breaking, while the $\Pi_u$ potential cannot. From this observation, wederive model-independent selection rules that contradict previous expectationsthat quarkonium hybrids are forbidden to decay into pairs of $S$-wave mesons.These Born-Oppenheimer selection rules are consistent with the partial decaywidths of the lowest charmonium hybrid with exotic quantum numbers$J^{PC}=1^{-+}$ recently calculated in lattice QCD.

Why quarkonium hybrid coupling to two S-wave heavy-light mesons is not suppressed