Nonleptonic ${\Lambda }_b$ decays to $D_s\mathrm{}\left(2317\right),$ $D_s\mathrm{}\left(2460\right),$ and other final states in factorization

We consider nonleptonic Cabibbo-allowed ${\Lambda }_b$ decays in the factorization approximation. We calculate nonleptonic decays of the type ${\Lambda }_b\to {\Lambda }_{c}P$ and ${\Lambda }_b\to {\Lambda }_{c}V$ relative to $\overline{B_d^0}\to D^{+}P$ and $\overline{B_d^0}\to D^{+}V$ where we include among the pseudoscalar states and the vector states the newly discovered $D_s$ resonances, $D_s\mathrm{}\left(2317\right)\mathrm{}$ and $D_s\mathrm{}\left(2460\right).$ In the ratio of ${\Lambda }_b$ decays to $D_s\mathrm{}\left(2317\right)\mathrm{}$ and $D_s\mathrm{}\left(2460\right)\mathrm{}$ relative to the $\overline{B_d^0}$ decays to these states, the poorly known decay constants of $D_s\mathrm{}\left(2317\right)\mathrm{}$ and $D_s\mathrm{}\left(2460\right)\mathrm{}$ cancel, leading to predictions that can shed light on the nature of these new states. In general, we predict the ${\Lambda }_b$ decays to be larger than the corresponding $\overline{B_d^0}$ decays and in particular we find the branching ratio for ${\Lambda }_b\to {\Lambda }_c{D}_s\mathrm{}\left(2460\right)\mathrm{}$ can be between four to five times the branching ratio for $\overline{B_d^0}\to D^{+}{D}_s\mathrm{}\left(2460\right).$ This enhancement of ${\Lambda }_b$ branching ratios follows primarily from the fact that more partial waves contribute in ${\Lambda }_b$ decays than in $\overline{B_d^0}$ decays. Our predictions are largely independent of model calculations of hadronic inputs like form factors and decay constants.