Quarkonium spin structure in lattice NRQCD

Abstract

Numerical simulations of the quarkonium spin splittings are done in the framework of lattice nonrelativistic quantum chromodynamics (NRQCD). At leading order in the velocity expansion the spin splittings are of $O(M_Q{v}^4)$, where $M_Q$ is the renormalized quark mass and $v^2$ is the mean squared quark velocity. A systematic analysis is done of all next-to-leading order corrections. This includes the addition of $O(M_Q{v}^6)$ relativistic interactions, and the removal of $O(a^2{M}_Q{v}^4)$ discretization errors in the leading-order interactions. Simulations are done for both S- and P-wave mesons, with a variety of heavy quark actions and over a wide range of lattice spacings. Two prescriptions for the tadpole improvement of the action are also studied in detail: one using the measured value of the average plaquette, the other using the mean link measured in Landau gauge. Next-to-leading order interactions result in a very large reduction in the charmonium splittings, down by about 60% from their values at leading order. There are further indications that the velocity expansion may be poorly convergent for charmonium. Prelimary results show a small correction to the hyperfine splitting in the Upsilon system.

16 pages, REVTEX v3.1, 5 postscript figures included

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Cited by in corpus (43)

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• Perturbative Improvement for Lattice QCD: An Update
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• Hybrid Quarkonia on Asymmetric Lattices
• S and P-wave heavy-light mesons in lattice NRQCD
• Scaling of the Upsilon Spectrum in Lattice NRQCD
• Sea Quark Effects on Quarkonia
• Relativistic Bottomonium Spectrum from Anisotropic Lattices
• A quark action for very coarse lattices
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• Quenched charmonium spectrum
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• An estimate of the flavour singlet contributions to the hyperfine splitting in charmonium
• Improved Upsilon Spectrum with Dynamical Wilson Fermions
• Contribution of disconnected diagrams to the hyperfine splitting of charmonium
• Tadpole-improved SU(2) lattice gauge theory
• O(1/M^3) effects for heavy-light mesons in lattice NRQCD
• Hyperfine effects in charmed baryons
• Heavy baryon spectrum on lattice with NRQCD bottom and HISQ lighter quarks
• Unquenched Charmonium with NRQCD
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• The Schrödinger Functional for Improved Gluon and Quark Actions
• Spectroscopy of B_s and D_s Mesons
• Hybrid configuration content of heavy S-wave mesons
• The Mass Spectrum of Light and Heavy Hadrons from Improved Lattice Actions
• Super-heavy Quarkonia and the Gluon Condensate
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• Quenched charmonium near the continuum limit
• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Charmed baryons from lattice QCD
• Study of charmonium production using decays to hadronic final states with the LHCb experiment
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• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Vector decay constants in quarkonia