Higher angular momentum states of bottomonium in lattice nonrelativistic QCD

On a cubic lattice the zero-momentum meson states have one of 20 possible [Lambda] super(P)Ccombinations where [Lambda] labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific J super(P)Cquantum numbers is contained within one or more of the latt...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2012-06, Vol.85 (11), Article 114509
Hauptverfasser: Lewis, Randy, Woloshyn, R. M.
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Sprache:eng
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Zusammenfassung:On a cubic lattice the zero-momentum meson states have one of 20 possible [Lambda] super(P)Ccombinations where [Lambda] labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific J super(P)Cquantum numbers is contained within one or more of the lattice [Lambda] super(P)Cstates. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice [Lambda] super(P)Ccombinations 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.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.85.114509