{ital B} spectroscopy from NRQCD with dynamical fermions

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.5777· OSTI ID:392022

Collins, S ^[1]; Heller, U M; Sloan, J H ^[1]; Shigemitsu, J ^[2]; Khan, A A; Davies, C T ^[3]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (United States)
2. The Ohio State University, Columbus, Ohio 43210 (United States)
3. University of Glasgow, Glasgow, (Scotland) G12 8QQ

We present a lattice investigation, partially including the effects of dynamical quarks, of the heavy-light mesons using NRQCD for the heavy quark and the Wilson action for the light quark. We perform an extensive calculation of the spectrum employing a multistate, multiexponential fitting analysis which enables us to extract the 2{ital S}-1{ital S} splitting as well as the {sup 1}{ital P}{sub 1}-{ital {bar S}} and hyperfine splittings. The Wilson action introduces a large systematic error into the calculation, and within this uncertainty we obtain agreement with experiment. We perform a comprehensive calculation of the heavy-light meson mass, investigating three methods and their range of validity. The agreement found between these methods confirms that Lorentz invariance can be restored at this order in NRQCD by a constant shift to all masses. We calculated spectroscopic quantities over a wide range in heavy quark mass and are able to perform a detailed investigation of heavy quark symmetry around the {ital b} quark mass. In particular, we extract the nonperturbative coefficients of terms in the heavy quark expansion of the meson binding energy. We demonstrate the importance of using tadpole-improved operators in such a calculation. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FG02-91ER40690; FG05-85ER25000; FG05-92ER40742
• OSTI ID: 392022
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
FERMIONS
LATTICE FIELD THEORY
LORENTZ INVARIANCE
MEAN-FIELD THEORY
MESON SPECTROSCOPY
QUANTUM CHROMODYNAMICS
QUARKS