Physics of B_c mesons

Gershtein S.S., Kiselev V.V., Likhoded A.K., Tkabladze A.V. Physics of Bc mesons: IHEP Preprint 94-81. – Protvino, 1994. – p. 82, figs. 23, tables 28. In the framework of potential models for heavy quarkonium the mass spectrum for the system (b̄c) is considered. Spin-dependent splittings, taking into account a change of a constant for effective coulomb interaction between the quarks, and widths of radiative transitions between the (b̄c) levels are calculated. In the framework of QCD sum rules, masses of the lightest vector B∗ c and pseudoscalar Bc states are estimated, scaling relation for leptonic constants of heavy quarkonia is derived, and the leptonic constant fBc is evaluated. The Bc decays are considered in the framework of both the potential models and the QCD sum rules, where the significance of Coulomb-like corrections is shown. The relations, following from the approximate spin symmetry for the heavy quarks in the heavy quarkonium, are analysed for the form factors of the semileptonic weak exclusive decays of Bc. The Bc lifetime is evaluated with the account of the corrections to the spectator mechanism of the decay, because of the quark binding into the meson. The total and differential cross sections of the Bc production in different interactions are calculated. The analytic expressions for the fragmentational production cross sections of Bc are derived. The possibility of the practical Bc search in the current and planning experiments at electron-positron and hadron colliders is analysed. c © Federal Science Centre Institute for High Energy Physics, 1994.