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Higher angular momentum states of bottomonium in lattice NRQCD

High Energy Physics - Lattice 2012-06-26 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1204.4675,
  title  = {Higher angular momentum states of bottomonium in lattice NRQCD},
  author = {Randy Lewis and R. M. Woloshyn},
  journal= {arXiv preprint arXiv:1204.4675},
  year   = {2012}
}

Comments

18 pages, 4 figures, published version