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arXiv · 1204.4675

Higher angular momentum states of bottomonium in lattice NRQCD

Randy Lewis·R. M. Woloshyn
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Abstract

On a cubic lattice the zero-momentum meson states have one of 20 possible Lambda^{PC} combinations where Lambda labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific J^{PC} quantum numbers is contained within one or more of the lattice Lambda^{PC} states. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice Lambda^{PC} 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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Randy Lewis, R. M. Woloshyn. 2012-06-25. Higher angular momentum states of bottomonium in lattice NRQCD. https://doi.org/10.1103/physrevd.85.114509

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