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A search for the doubly heavy $\mathit{\Xi}_{bc}^{0}$ baryon using its decayto the $D^0pK^-$ final state is performed using proton-proton collision data ata centre-of-mass energy of 13 TeV collected by the LHCb experiment between 2016and 2018, corresponding to an integrated luminosity of 5.4 $\mathrm{fb}^{-1}$.No significant signal is found in the invariant mass range from 6.7 to 7.2$\mathrm{GeV}/c^2$. Upper limits are set at $95\%$ credibility level on theratio of the $\mathit{\Xi}_{bc}^{0}$ production cross-section times itsbranching fraction to $D^0pK^-$ relative to that of the$\mathit{\Lambda}_{b}^{0} \to D^0pK^-$ decay. The limits are set as a functionof the $\mathit{\Xi}_{bc}^{0}$ mass and lifetime hypotheses, in the rapidityrange from 2.0 to 4.5 and in the transverse momentum region from 5 to 25$\mathrm{GeV}/c$. Upper limits range from $1.7\times10^{-2}$ to$3.0\times10^{-1}$ for the considered $\mathit{\Xi}_{bc}^{0}$ mass and lifetimehypotheses.

Search for the doubly heavy $\mathit{\Xi}_{bc}^{0}$ baryon via decays to $D^0pK^-$