The Heavy-Light Spectrum from Lattice NRQCD

Abstract

We present a lattice investigation of heavy-light mesons in the quenched approximation, using non-relativistic QCD for the heavy quark and a clover improved Wilson formulation for the light quark. A comprehensive calculation of the heavy-light spectrum has been performed for various heavy quark masses around the $b$. Our results for the $B_s-B_d$ splitting agree well with the experimental value. We find the ${\Lambda }_b-B$ splitting to be compatible with experiment, albeit with large error bars. Our $B^{\ast }-B$ splitting is slightly low, which could be explained as an effect of quenching. For the first time, we are able to estimate the mass of $P$ states at the $B$ and compare them with experiment.

24 pages, latex, 10 figures in uuencoded compressed postscript

References in corpus (3)

• Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
• Precision Charmonium Spectroscopy From Lattice QCD
• Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD

Cited by in corpus (13)

• QCD forces and heavy quark bound states
• A review of the open charm and open bottom systems
• High-Precision Lattice QCD Confronts Experiment
• Scaling of the B and D meson spectrum in lattice QCD
• Quarkonium spin structure in lattice NRQCD
• Heavy- to light-meson transition form factors
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• O(1/M^3) effects for heavy-light mesons in lattice NRQCD
• Heavy-Light Mesons with Quenched Lattice NRQCD: Results on Decay Constants
• The Spectrum from Lattice NRQCD
• The Mass Spectrum of Light and Heavy Hadrons from Improved Lattice Actions
• $B$ Spectroscopy from NRQCD with Dynamical Fermions
• S-wave charmed mesons in lattice NRQCD