Estimate of the charmed 0-- hybrid meson spectrum from quenched lattice QCD

TL;DR

This paper uses quenched lattice QCD with improved actions to estimate the masses of charmed hybrid mesons with exotic quantum numbers, providing the first lattice prediction for the 0-- state.

Contribution

It presents the first lattice QCD calculation of the 0-- charmed hybrid meson mass, extending previous work to include this challenging state.

Findings

Mass of 1-+ hybrid: 4.405 GeV

Mass of 0+- hybrid: 4.714 GeV

Mass of 0-- hybrid: 5.883 GeV

Abstract

We compute from quenched lattice QCD the ground state masses of the charmed hybrid mesons cbar c g, with exotic quantum numbers JPC=1-+, 0+- and 0--. The 0-- hybrid meson spectrum has never been provided by lattice simulations due to the difficulties to extract high gluonic excitations from noise. We employ improved gauge and fermion actions on the anisotropic lattice, which reduce greatly the lattice artifacts, and lead to very good signals. The data are extrapolated to the continuum limit, with finite size effects under well control. For 1-+ and 0+- hybrid mesons, the ground state masses are 4.405(38) GeV and 4.714(52) GeV. We predict for the first time from lattice QCD, the ground state mass of 0-- to be 5.883(146) GeV.