Precision [Upsilon] spectroscopy from nonrelativistic lattice QCD

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6963· OSTI ID:7097746

Davies, C T.H.; Hornbostel, K; Langnau, A; Lepage, G P; Lidsey, A; Shigemitsu, J; Sloan, J ^[1]

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1. University of Glasgow, Glasgow, United Kingdom G12 8QQ (United Kingdom) Southern Methodist University, Dallas, Texas 75275 (United States) Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853 (United States) The Ohio State University, Columbus, Ohio 43210 (United States) Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)

The spectrum of the [Upsilon] system is investigated using the nonrelativistic lattice QCD approach to heavy quarks and ignoring light quark vacuum polarization. We find good agreement with experiment for the [Upsilon],[Upsilon][prime],[Upsilon][prime][prime] and for the center of mass and fine structure of the [chi][sub [ital b]] states. The lattice calculations predict [ital b[bar b]] [ital D] states with a center of mass at (10.20[plus minus]0.07[plus minus]0.03) GeV. Fitting procedures aimed at extracting both ground and excited state energies are developed. We calculate a nonperturbative dispersion mass for the [Upsilon](1[ital S]) and compare it with tadpole-improved lattice perturbation theory.

• DOE Contract Number: FG05-85ER25000; FG05-92ER40742; FG02-91ER40690
• OSTI ID: 7097746
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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662420 -- Properties of Mesons & Meson Resonances-- (1992-)
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
BOTTOMONIUM
CENTER-OF-MASS SYSTEM
CHARM PARTICLES
CHARMED MESONS
D MESONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXCITED STATES
FERMIONS
FIELD THEORIES
FINE STRUCTURE
GROUND STATES
HADRONS
LATTICE FIELD THEORY
MASS
MESONS
PERTURBATION THEORY
POLARIZATION
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
SPECTROSCOPY
UPSILON-10023 MESONS
UPSILON-10355 MESONS
UPSILON-9460 MESONS
VACUUM STATES
VECTOR MESONS