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.

Comments: 24 pages, latex, 10 figures in uuencoded compressed postscript