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 3D2 - 1S splitting to 2.3%, and find agreement with experiment. Our prediction of the fine structure relative to the 3D2 gives the 3D3 at 10.181(5) GeV and the 3D1 at 10.147(6) GeV. We also discuss the overlap of 3D1 operators with 3S1 states.
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