Prediction of the bottomonium D-wave spectrum from full lattice QCD

Abstract

We calculate the full spectrum of D-wave states in the Upsilon system in lattice QCD for the first time, using an improved version of NonRelativistic QCD on coarse and fine "second generation" gluon field configurations from the MILC collaboration that include the effect of up, down, strange and charm quarks in the sea. Taking the 2S-1S splitting to set the lattice spacing, we determine the ^3D_2 - 1S splitting to 2.3%, and find agreement with experiment. Our prediction of the fine structure relative to the ^3D_2 gives the ^3D_3 at 10.181(5) GeV and the ^3D_1 at 10.147(6) GeV. We also discuss the overlap of ^3D_1 operators with ^3S_1 states.

4 pages, 5 figures

References in corpus (7)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• The Upsilon spectrum and m_b from full lattice QCD
• Scaling studies of QCD with the dynamical HISQ action
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• First Observation of a Upsilon(1D) State
• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential

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