Exotic bottomonium hadronic transitions

TL;DR

This paper computes exotic bottomonium transitions to standard bottomonium and light hadrons, using a hybrid bottomonium model and effective field theory, providing insights into hadronic transition mechanisms.

Contribution

It introduces a novel computation framework for bottomonium hadronic transitions assuming hybrid states, combining EFT and gluonic hadronization models.

Findings

Transition rates for exotic to standard bottomonium

Predictions for light meson production via gluonic operators

Semi-inclusive transition results

Abstract

We report on a recent computation of the transitions of exotic bottomonium to standard bottomonium and light quark hadrons. We work under the assumption that the $\Upsilon(10753)$ and $\Upsilon(11020)$ can be described as the lowest laying and first excitation $1^{--}$ hybrid bottomonium states, respectively. The computation has two distinct parts: the heavy quark transition matrix elements, which are obtained in a nonrelativistic EFT incorporating the heavy quark, multipole and adiabatic expansions; and the hadronization of the gluonic operators into the light-meson final states. The single mesons production is obtained through the axial anomaly and a standard $\pi^0-\eta-\eta'$ mixing scheme. Two pion and kaon production is obtained by solving the coupled Omn\`es problem. We also present result for semi-inclusive transitions.