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

TL;DR

This study investigates hadronic transitions of bottomonium P-wave states at Belle, focusing on $ ightarrow  $ transitions, providing insights into nonrelativistic QCD and searching for higher P-wave states.

Contribution

It presents the first detailed analysis of $ P$ bottomonium states' hadronic transitions to $ $ at Belle, including a search for $ P(3P)$ states, advancing understanding of bottomonium spectroscopy.

Findings

Observation of $ P$ transitions to $ $ states.

Constraints on $ P(3P)$ state production.

Insights into nonrelativistic QCD models.

Abstract

We report results from a study of hadronic transitions of the $\chi_{bJ}(nP)$ states of bottomonium at Belle. The $P$-wave states are reconstructed in transitions 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 nonrelativistic quantum chromodynamics, 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 reported.