Search for CP violation using triple product asymmetries in $\Lambda^{0}_{b}\to pK^{-}\pi^{+}\pi^{-}$, $\Lambda^{0}_{b}\to pK^{-}K^{+}K^{-}$ and $\Xi^{0}_{b}\to pK^{-}K^{-}\pi^{+}$ decays

A search for CP and P violation using triple-product asymmetries is performed with Λ$_{b}^{0}$ → pK$^{−}$π$^{+}$π$^{−}$, Λ$_{b}^{0}$ → pK$^{−}$K$^{+}$K$^{−}$ and Ξ$_{b}^{0}$ → pK$^{−}$K$^{−}$π$^{+}$ decays. The data sample corresponds to integrated luminosities of 1.0 fb$^{−1}$ and 2.0 fb$^{−1}$, recorded with the LHCb detector at centre-of-mass energies of 7 TeV and 8 TeV, respectively. The CP - and P - violating asymmetries are measured both integrating over all phase space and in specific phase-space regions. No significant deviation from CP or P symmetry is found. The first observation of Λ$_{b}^{0}$ → pK$^{−}$χ$_{c0}$(1P)(→π$^{+}$π$^{−}$, K$^{+}$K$^{−}$) decay is also reported.