Search for the doubly heavy baryons $\itΩ_{bc}^{\rm0}$ and $\itΞ_{bc}^{\rm0}$ decaying to $\it{Λ_{c}^{+}π^{-}}$ and $\it{Ξ_{c}^{+}π^{-}}$
The first search for the doubly heavy $\itΩ_{bc}^{\rm0}$ baryon and a search for $\itΞ_{bc}^{\rm0}$ baryon are performed using $pp$ collision data collected via the LHCb experiment from 2016 to 2018 at a centre-of-mass energy of $13TeV$, corresponding to an integrated luminosity of 5.2$fb^{-1}$. The baryons are reconstructed via their decays to $\it{Λ_{c}^{+}π^{-}}$ and $\it{Ξ_{c}^{+}π^{-}}$. No significant excess is found for invariant masses between 6700 and 7300$MeV/c^2$, in a rapidity range from 2.0 to 4.5 and a transverse momentum range from 2 to 20$GeV/c$. Upper limits are set on the ratio of the $\itΩ_{bc}^{\rm0}$ and $\itΞ_{bc}^{\rm0}$ production cross-section times the branching fraction to $\it{Λ_{c}^{+}π^{-}}$ ($\it{Ξ_{c}^{+}π^{-}}$) relative to that of the $\it{Λ_b^{\rm0}}$ ($\it{Ξ_b^{\rm0}}$) baryon, for different lifetime hypotheses, at $95\%$ confidence level. The upper limits range from $0.5\times10^{-4}$ to $2.5\times10^{-4}$ for the $\itΩ_{bc}^{\rm0}\rightarrow\it{Λ_{c}^{+}π^{-}}$ ($\itΞ_{bc}^{\rm0}\rightarrow\it{Λ_{c}^{+}π^{-}}$) decay, and from $1.4\times10^{-3}$ to $6.9\times10^{-3}$ for the $\itΩ_{bc}^{\rm0}\rightarrow\it{Ξ_{c}^{+}π^{-}}$ ($\itΞ_{bc}^{\rm0}\rightarrow\it{Ξ_{c}^{+}π^{-}}$) decay, depending on the considered mass and lifetime of the $\itΩ_{bc}^{\rm0}$ ($\itΞ_{bc}^{\rm0}$) baryon.