Optimized meson operators for charmonium spectroscopy and mixing with glueballs

TL;DR

This paper develops optimized meson operators within the distillation framework to improve charmonium spectrum analysis and meson-glueball mixing studies, achieving better ground state overlap and access to excited states across multiple quantum numbers.

Contribution

It introduces optimized meson operators that enhance overlap with states and enable efficient study of excited and hybrid states in charmonium spectroscopy.

Findings

Increased ground state overlap with optimized operators

Access to excited and hybrid states with minimal additional cost

Effective calculation of meson-glueball mixing

Abstract

Optimized meson operators in the distillation framework are used to study the charmonium spectrum in two ensembles with two heavy dynamical quarks at half the physical charm quark mass but different lattice spacings. The use of optimal meson distillation profiles is shown to increase the overlap with the ground state significantly, as well as grant access to excited states, for multiple quantum numbers including hybrid states with very little additional cost. These same operators are also employed for the calculation of meson-glueball mixing.