The Bc meson lifetime in the light-front constituent quark model

Abstract

We present an investigation of the total decay rate of the (ground state) B c meson within the framework of the relativistic constituent quark model formulated on the light-front (LF). The exclusive semileptonic (SL) and nonleptonic (NL) beauty and charm decays of the B c meson are described through vector and axial hadronic form factors, which are calculated in terms of quark model LF wave functions. The latter ones are derived via the Hamiltonian LF formalism using as input the update constituent quark models. The inclusive SL and NL partial rates are calculated within a convolution approach inspired by the partonic model and involving the same B c wave function which is used for evaluation of the exclusive modes. The framework incorporates systematically 84 exclusive and 44 inclusive partial rates corresponding to the underlying b ̄ → c ̄ and c→ s quark decays. We find τ B c =0.59±0.06 ps where the theoretical uncertainty is dominated by the uncertainty in the choice of LF wave functions and the threshold values for the hadron continuum. For the branching fractions of the B + c → J/ ψμ + ν μ and B c +→ J/ ψπ + decays we obtain 1.6% and 0.1%, respectively.