Hybrid Quarkonia with Dynamical Sea Quarks

Abstract

We present a dynamical lattice calculation with 2 flavours for bottomonium states with an additional gluonic excitation. Using improved actions for the quarks and gauge fields at a lattice spacing of $a\approx 0.1$ fm, we find 10.977(61)(62) GeV for the energy of the lowest lying $b\bar{b}g$-hybrid, where the first error is statistical and the second denotes the systematic uncertainty due to the determination of scale. In a parallel quenched simulation we demonstrate explicitly that vacuum polarisation effects are less than 10% of the splitting with the ground state.

Comments: 4 pages, 2 figures, minor corrections and added references