Scaling of the Upsilon Spectrum in Lattice NRQCD

Abstract

We present results for the spectrum of b-bbar bound states in the quenched approximation for three different values of the lattice spacing, in the range 0.05fm to 0.15fm. We find our results for spin-independent splittings in physical units to be independent of the lattice spacing, indicating the absence of systematic errors from discretisation effects. Spin-dependent splittings are more sensitive to the lattice spacing and higher order corrections to the action; we discuss the size of these effects and what can be done to arrive at a physical result.

35 pages, 7 figures. Minor changes. Version to be published in Phys.Rev.D

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• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• NRQCD Analysis of Bottomonium Production at the Tevatron
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• Bottomonium above deconfinement in lattice nonrelativistic QCD
• Valence QCD: Connecting QCD to the Quark Model
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• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions
• Sea Quark Effects on Quarkonia
• The Mass of the b Quark
• Relativistic Bottomonium Spectrum from Anisotropic Lattices
• Sea quark effects in B Spectroscopy and Decay Constants
• Alpha_S from Upsilon Spectroscopy with Dynamical Wilson Fermions
• Spin correlations and velocity-scaling in color-octet NRQCD matrix elements
• A lattice potential investigation of quark mass and volume dependence of the ${\rm Y}$ spectrum
• A non-perturbative calculation of the mass of the Bc
• Measurement of the Muonic Branching Fractions of the Narrow Upsilon Resonances
• Production of the D-wave $b\bar{b}$ states
• Non-relativistic spectrum of two-color QCD at non-zero baryon density
• Couplings of hybrid operators to ground and excited states of bottomonia
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