Study of $\ddot{I}{‡}_{bJ}(nP)\to \ddot{I}‰\hat{I}\yen (1S)$ at Belle

Abstract

We report results from a study of hadronic transitions of the $\ddot{I}{‡}_{bJ}(nP)$ states of bottomonium at Belle. The $P$-wave states are reconstructed in transitions to the $\hat{I}\yen (1S)$ with the emission of an $\ddot{I}‰$ meson. The transitions of the $n=2$ triplet states provide a unique laboratory in which to study nonrelativistic quantum chromodynamics, as the kinematic threshold for production of an $\ddot{I}‰$ and $\hat{I}\yen (1S)$ lies between the $J=0$ and $J=1$ states. A search for the $\ddot{I}{‡}_{bJ}(3P)$ states is also reported.