Scaling behavior and volume dependence of B-meson properties

Abstract

A high statistics computation of the decay constant fB 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 lattice methods appear to remain applicable, at β = 6.0 even beyond the D-meson mass. A comparison of the methods indicates the necessity of large corrections to the static approximation. Furthermore, we investigate the scalar - pseudoscalar mass splitting Δ. Finally, the energy of a B-meson in the static approximation is used to estimate the distance where string breaking should occur in full QCD. © 1991.