Scaling of the B and D meson spectrum in lattice QCD

Abstract

We give results for the B and the D meson spectrum using NRQCD on the lattice in the quenched approximation. The masses of radially and orbitally excited states are calculated as well as S-wave hyperfine and P-wave fine structure. Radially excited P states are observed for the first time. Radial and orbital excitation energies match well to experiment, as does the strange-nonstrange S-wave splitting. We compare the light and heavy quark mass dependence of various splittings to experiment. Our B results cover a range in lattice spacings of more than a factor of two. Our D results are from a single lattice spacing and we compare them to numbers in the literature from finer lattices using other methods. We see no significant dependence of physical results on the lattice spacing.