The spectrum of the Upsilon system is investigated using the Nonrelativistic Lattice QCD approach to heavy quarks and ignoring light quark vacuum polarization. We find good agreement with experiment for the Upsilon(1S), Upsilon(2S), Upsilon(3S) and for the center of mass and fine structure of the chi_b states. The lattice calculations predict b-bbar D-states with center of mass at (10.20 +/- 0.07 +/- 0.03)GeV. Fitting procedures aimed at extracting both ground and excited state energies are developed. We calculate a nonperturbative dispersion mass for the Upsilon(1S) and compare with tadpole-improved lattice perturbation theory.
@article{arxiv.hep-lat/9406017,
title = {Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD},
author = {C. T. H. Davies and K. Hornbostel and A. Langnau and G. P. Lepage and A. Lidsey and J. Shigemitsu and J. Sloan},
journal= {arXiv preprint arXiv:hep-lat/9406017},
year = {2011}
}