Nonleptonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>decays to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn/><mml:mo>(</mml:mo><mml:mn>2317</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn/><mml:mo>(</mml:mo><mml:mn>2460</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:math>and other final states in factorization

We consider nonleptonic Cabibbo-allowed ${\ensuremath{\Lambda}}_{b}$ decays in the factorization approximation. We calculate nonleptonic decays of the type ${\ensuremath{\Lambda}}_{b}\ensuremath{\rightarrow}{\ensuremath{\Lambda}}_{c}P$ and ${\ensuremath{\Lambda}}_{b}\ensuremath{\rightarrow}{\ensuremath{\Lambda}}_{c}V$ relative to $\overline{{B}_{d}^{0}}\ensuremath{\rightarrow}{D}^{+}P$ and $\overline{{B}_{d}^{0}}\ensuremath{\rightarrow}{D}^{+}V$ where we include among the pseudoscalar states and the vector states the newly discovered ${D}_{s}$ resonances, ${D}_{s}(2317)$ and ${D}_{s}(2460).$ In the ratio of ${\ensuremath{\Lambda}}_{b}$ decays to ${D}_{s}(2317)$ and ${D}_{s}(2460)$ relative to the $\overline{{B}_{d}^{0}}$ decays to these states, the poorly known decay constants of ${D}_{s}(2317)$ and ${D}_{s}(2460)$ cancel, leading to predictions that can shed light on the nature of these new states. In general, we predict the ${\ensuremath{\Lambda}}_{b}$ decays to be larger than the corresponding $\overline{{B}_{d}^{0}}$ decays and in particular we find the branching ratio for ${\ensuremath{\Lambda}}_{b}\ensuremath{\rightarrow}{\ensuremath{\Lambda}}_{c}{D}_{s}(2460)$ can be between four to five times the branching ratio for $\overline{{B}_{d}^{0}}\ensuremath{\rightarrow}{D}^{+}{D}_{s}(2460).$ This enhancement of ${\ensuremath{\Lambda}}_{b}$ branching ratios follows primarily from the fact that more partial waves contribute in ${\ensuremath{\Lambda}}_{b}$ 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.

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