Average kinetic energy of heavy quark (μπ2) inside heavy meson in 0- state by Bethe-Salpeter method

The average kinetic energy of the heavy quark inside B or D meson is computed by means of the instantaneous Bethe-Salpeter method. We first solve the relativistic Salpeter equation and obtain the relativistic wave function and mass of 0(-) state, then we use the relativistic wave function to calculate the average kinetic energy of the heavy quark inside heavy meson of 0(-) state. We find that the relativistic corrections to the average kinetic energy of the heavy quark inside B or D meson are quite large and cannot be ignored. We estimate mu(pi)(2) (= -lambda(1)) approximate to 0.24(B-0, B+/-), 0.20(D-0, D+/-), 0.33(B-S), 0.26(D-S), 0.83(B-C) and 0.62(eta(C)) GeV2. (C) 2004 Elsevier B.V. All rights reserved.