Lepton flavour violating $${\Lambda }_{{b}}$$ decays in non-universal $${Z}^{\prime }$$ model

Motivated by the recent LHCb results of lepton flavour violation on $$b\rightarrow s$$ b → s and $$b\rightarrow c$$ b → c transitions we study the lepton flavour violating (LFV) baryonic decays $${\Lambda }_{b}\rightarrow {\Lambda }l_{i}^{+}l_{j}^{-}$$ Λ b → Λ l i + l j - in non-universal $$Z^{\prime }$$ Z ′ model. We discuss the two-fold decay distribution of $${\Lambda }_{b}\rightarrow {\Lambda }l_{i}^{+}l_{j}^{-}$$ Λ b → Λ l i + l j - decays in terms of transversity amplitudes. From this distribution we study the differential branching ratio and lepton side forward-backward asymmetry in new physics (NP). The predicted values of the observables are very interesting and that might emboss the footprints of NP more aesthetically.