2009/03/31 by Stefan Meinel
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevd.79.094501
published as Phys.Rev.D79:094501,2009 · 11 pages, 5 figures, added section on "speed of light"; to appear in Phys. Rev. D
arxiv created 2009/04/21 · openalex publication_date 2009/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Recently, realistic lattice QCD calculations with 2+1 flavors of domain wall fermions and the Iwasaki gauge action have been performed by the RBC and UKQCD Collaborations. Here, results for the bottomonium spectrum computed on their gauge configurations of size 243\ifmmode×\else\texttimes\fi64 with a lattice spacing of approximately 0.11 fm and four different values for the light quark mass are presented. Improved lattice nonrelativistic QCD is used to treat the b quarks inside the bottomonium. The results for the radial and orbital energy splittings are found to be in good agreement with experimental measurements, indicating that systematic errors are small. The calculation of the \ensuremathΥ(2S)\ensuremath-\ensuremathΥ(1S) energy splitting provides an independent determination of the lattice spacing. For the most physical ensemble it is found to be a^\ensuremath-1=1.740(25)(19) GeV, where the first error is statistical/fitting and the second error is an estimate of the systematic errors due to the lattice nonrelativistic QCD action.