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… Click to show full abstract
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 ( J P = 1 + ) emitting form factors for B → D 1 / 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 → D 1 1 / 2 / D 1 3 / 2 form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract τ 1 / 2 ( ω ) and τ 3 / 2 ( ω ) form factors from the recent lattice QCD results to get a qualitative estimate of B → D 1 1 / 2 / D 1 3 / 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 / m Q suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored.
               
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