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

Daldrop, J.O., Davies, C.T.H. and Dowdall, R.J. (2012) Prediction of the bottomonium D-wave spectrum from full lattice QCD. Physical Review Letters, 108(10), p. 102003. (doi: 10.1103/PhysRevLett.108.102003)

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Abstract

We calculate the full spectrum of D-wave states in the Υ system in lattice QCD for the first time, by 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. By taking the 2S-1S splitting to set the lattice spacing, we determine the 3D2-1S̅ 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Dowdall, Dr Rachel and Davies, Professor Christine
Authors: Daldrop, J.O., Davies, C.T.H., and Dowdall, R.J.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN:0031-9007
Published Online:08 March 2012

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