Higher angular momentum states of bottomonium in lattice NRQCD

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.

18 pages, 4 figures, published version

References in corpus (7)

• Toward the excited meson spectrum of dynamical QCD
• Observation of anomalous Upsilon(1S)pi+pi- and Upsilon(2S)pi+pi- production near the Upsilon(5S) resonance
• Charmonium excited state spectrum in lattice QCD
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Bottom baryons from a dynamical lattice QCD simulation
• Observation of the ${\rm Y}(1^3{D}_J)$ Bottomonium State through Decays to ${\pi }^{+}{\pi }^{-}{\rm Y}(1S)$
• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions

Cited by in corpus (3)

• Lepton flavor violating decays of vector quarkonia and of the $Z$ boson
• Bottomonium spectrum in the relativistic flux tube model
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons