Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
C.T.H. Davies, K. Hornbostel, A. Langnau, G.P. Lepage, A. Lidsey, J., Shigemitsu, and J. Sloan
TL;DR
This paper uses Nonrelativistic Lattice QCD to accurately compute the Upsilon spectrum, achieving good agreement with experimental data and predicting new b-bbar D-states, advancing heavy quark spectroscopy methods.
Contribution
It introduces improved lattice calculation techniques for Upsilon states and predicts b-bbar D-states, enhancing understanding of heavy quarkonium spectra.
Findings
Good agreement with experimental Upsilon spectra
Prediction of b-bbar D-states at 10.20 GeV
Development of fitting procedures for energy extraction
Abstract
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.
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