A high statistics lattice calculation of the B-meson binding energy

We present a high statistics lattice calculation of the B-meson binding energy <(Lambda)over bar> of the heavy-quark inside the pseudoscalar B-meson. Our numerical results have been obtained from several independent numerical simulations at beta = 6.0, 6.2 and 6.4, and using, for the meson correlators, the results obtained by the APE group at the same values of beta. Our best estimate, obtained by combining results at different values of beta, is <(Lambda)over bar> = 180(-20)(+30) MeV. For the <(MS)over bar> running mass, we obtain (m) over bar(b)((m) over bar(b)) = 4.15 +/- 0.05 rt 0.20 GeV, in reasonable agreement with previous determinations. The systematic error is the truncation of the perturbative series in the matching condition of the relevant operator of the Heavy Quark Effective Theory.