Bottomonium spectrum at order v{sup 6} from domain-wall lattice QCD: Precise results for hyperfine splittings

Journal Article · Wed Dec 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.114502· OSTI ID:21503717

Meinel, Stefan ^[1]

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1. Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)

The bottomonium spectrum is computed in dynamical 2+1 flavor lattice QCD, using nonrelativistic QCD for the b quarks. The main calculations in this work are based on gauge field ensembles generated by the RBC and UKQCD Collaborations with the Iwasaki action for the gluons and a domain-wall action for the sea quarks. Lattice spacing values of approximately 0.08 fm and 0.11 fm are used, and simultaneous chiral extrapolations to the physical pion mass are performed. As a test for gluon-discretization errors, the calculations are repeated on two ensembles generated by the MILC Collaboration with the Luescher-Weisz gauge action. Gluon-discretization errors are also studied in a lattice potential model using perturbation theory for four different gauge actions. The nonperturbative lattice QCD results for the radial and orbital bottomonium energy splittings obtained from the RBC/UKQCD ensembles are found to be in excellent agreement with experiment. To get accurate results for spin splittings, the spin-dependent order-v{sup 6} terms are included in the nonrelativistic QCD action, and suitable ratios are calculated such that most of the unknown radiative corrections cancel. The cancellation of radiative corrections is verified explicitly by repeating the calculations with different values of the couplings in the nonrelativistic QCD action. Using the lattice ratios of the S-wave hyperfine and the 1P tensor splitting, and the experimental result for the 1P tensor splitting, the 1S hyperfine splitting is found to be 60.3{+-}5.5{sub stat{+-}}5.0{sub syst{+-}}2.1{sub exp} MeV, and the 2S hyperfine splitting is predicted to be 23.5{+-}4.1{sub stat{+-}}2.1{sub syst{+-}}0.8{sub exp} MeV.

• OSTI ID: 21503717
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 11; Other Information: DOI: 10.1103/PhysRevD.82.114502; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
BOTTOMONIUM
CANCELLATION
CHIRALITY
COUPLING
EXTRAPOLATION
FLAVOR MODEL
GLUONS
LATTICE FIELD THEORY
MASS
MEV RANGE 10-100
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
S WAVES
SPECTRA
SPIN
ANGULAR MOMENTUM
BEAUTY PARTICLES
BOSONS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
CORRECTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
FIELD THEORIES
HADRONS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MESONS
MEV RANGE
NUMERICAL SOLUTION
PARTIAL WAVES
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKONIUM
QUARKS