A study of ΔC = 1 decays of bottom mesons involving axial-vector meson

Abstract

We study the two-body charmed nonleptonic weak decays of the bottom meson to an axial-vector meson and a pseudoscalar meson using the non-relativistic quark model. We employ the factorization hypothesis to obtain the branching ratios of these decays. First, we calculate the axial-vector (JP=1+) emitting form factors for B→D1/D_1 transitions in the non-relativistic Isgur-Scora-Grinstein-Wise quark model. Later, we use the heavy quark symmetry constraints to obtain the B→D11/2/D13/2 form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract τ1/2(ω) and τ3/2(ω) form factors from the recent lattice QCD results to get a qualitative estimate of B→D11/2/D13/2 form factors. We find that the calculated branching ratios are in fair agreement with the available experimental data in both the scenarios. Also, we observe that, despite of 1/mQ suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored.