We have performed the calculations for the nonleptonic $\Xi_b^- \rightarrow \pi^- \ \Xi_c^0 (2790) \left(J=\frac{1}{2}\right)\Xi_b^- \rightarrow \pi^- \ \Xi_c^0 (2815) \left(J=\frac{3}{2}\right)$ and the same reactions replacing the by a . At the same time we evaluate the semileptonic rates for and . We look at the reactions from the perspective that the and resonances are dynamically generated from the pseudoscalar-baryon and vector-baryon interactions. We evaluate ratios of the rates of these reactions and make predictions that can be tested in future experiments. We also find that the results are rather sensitive to the coupling of the resonances to the and components.

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