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Higher angular momentum states of bottomonium in lattice nonrelativistic QCD

Randy Lewis

R. M. Woloshyn

  • Department of Physics and Astronomy, York University, Toronto, Ontario, Canada M3J 1P3

  • TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3

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Phys. Rev. D 85, 114509 – Published 25 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114509

Abstract

On a cubic lattice the zero-momentum meson states have one of 20 possible ΛPC combinations where Λ labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific JPC quantum numbers is contained within one or more of the lattice ΛPC states. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice ΛPC combinations which allows many continuum high angular momentum states to be accessible as ground states of their associated lattice channels. From a dynamical simulation, realistic results are obtained for S-, P-, D-, F- and G-wave bottomonium states.

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Phys. Rev. D 85, 114509– Published 25 June, 2012
  • Received 26 April 2012

© 2012 American Physical Society

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