B-meson properties from lattice QCD

Abstract

A high statistics computation of the decay constant f{hook}B is presented to study scaling and finite size effects. Smooth wave functions for the B-meson allow to suppress excited state contributions effectively. We observe the scaling violation in the static approximation to be 15% between β = 5.7 and 6.0. The conventional light quark methods appear to remain applicable, at β = 6.0 even beyond the D-meson mass. The value obtained in the static approximation, f{hook}B = 366 ± 22(stat.) ± 55 (syst.) MeV, cannot be reached by smooth extrapolation from the D-meson range, where we find f{hook}D = 198 ± 17 MeV. © 1991.