Higher angular momentum states of bottomonium in lattice NRQCD

Details Higher angular momentum states of bottomonium in lattice NRQCD Higher angular momentum states of bottomonium in lattice NRQCD

2012-04-20

arxiv.org/abs/1204.4675v1

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 4 figures

Scientific paper

On a cubic lattice the zero-momentum meson states have one of twenty 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 twenty 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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