Hybrid meson decay from the lattice

TL;DR

This paper investigates the decay mechanisms of hybrid mesons in the heavy quark limit using lattice QCD, highlighting a dominant decay into a non-hybrid heavy quark state and a light meson, with implications for understanding hadronic transitions.

Contribution

It introduces a lattice QCD approach to study hybrid meson decays in the heavy quark limit and explores specific transition channels involving scalar mesons.

Findings

Identified a significant decay channel into a non-hybrid heavy quark state and a light meson.

Obtained a signal for the transition emitting a scalar meson.

Discussed phenomenological implications of hybrid meson decays.

Abstract

We discuss the allowed decays of a hybrid meson in the heavy quark limit. We deduce that an important decay will be into a heavy quark non-hybrid state and a light quark meson, in other words, the de-excitation of an excited gluonic string by emission of a light quark-antiquark pair. We discuss the study of hadronic decays from the lattice in the heavy quark limit and apply this approach to explore the transitions from a spin-exotic hybrid to $\chi_b \eta$ and $\chi_b S$ where $S$ is a scalar meson. We obtain a signal for the transition emitting a scalar meson and we discuss the phenomenological implications.