Higher angular momentum states of bottomonium in lattice NRQCD

Abstract

On a cubic lattice the zero-momentum meson states have one of 20 possible LambdaPC combinations where Lambda 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 LambdaPC states. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice LambdaPC 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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