Study of $\chi_{bJ}(nP)\to\omega\Upsilon(1S)$ at Belle

We report on a search for the $\chi_{bJ}(nP)$ states of bottomonium at Belle. The P-wave states are reconstructed in decays to the $\Upsilon(1S)$ with the emission of an $\omega$ meson. The transitions of the $n=2$ triplet states provide a unique laboratory in which to study the non-relativistic limit of the QCD multipole expansion model (QCDME), as the kinematic threshold for production of an $\omega$ and $\Upsilon(1S)$ lies between the $J=0$ and $J=1$ states. A search for the $\chi_{bJ}(3P)$ states is also performed.