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We report the results of the first search for $B^-$ decays to the$\bar{\Xi}_{c}^{0} \bar{\Lambda}_{c}^{-}$ final state using 711~${\rm fb^{-1}}$of data collected at the $\Upsilon(4S)$ resonance with the Belle detector atthe KEKB asymmetric-energy $e^+ e^-$ collider. The results are interpreted interms of both direct baryon-number-violating $B^-$ decay and$\Xi_{c}^{0}-\bar{\Xi}_{c}^{0}$ oscillations which follow the Standard Modeldecay $B^- \to \Xi_{c}^{0} \bar{\Lambda}_{c}^{-}$. We observe no evidence forbaryon number violation and set the 95\% confidence-level upper limits on theratio of baryon-number-violating and Standard Model branching fractions${\mathcal{B}(B^- \rightarrow \bar{\Xi}_{c}^{0}\bar{\Lambda}_{c}^{-})}/{\mathcal{B}(B^- \rightarrow \Xi_{c}^{0}\bar{\Lambda}_{c}^{-})}$ to be $< 2.7\%$ and on the $\Xi_{c}^{0} -\bar{\Xi}_{c}^{0}$ oscillation angular frequency $\omega$ to be $< 0.76\\mathrm{ps}^{-1}$ (equivalent to $\tau_{\rm mix} > 1.3$~ps).

Search for Baryon-Number-Violating Processes in $B^-$ Decays to the $\bar{\Xi}_{c}^{0} \bar{\Lambda}_{c}^{-}$ Final State