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An amplitude analysis of the decay $\Lambda_b^0\to D^0 p \pi^-$ is performedin the part of the phase space containing resonances in the $D^0 p$ channel.The study is based on a data sample corresponding to an integrated luminosityof 3.0 fb$^{-1}$ of $pp$ collisions recorded by the LHCb experiment. Thespectrum of excited $\Lambda_c^+$ states that decay into $D^0 p$ is studied.The masses, widths and quantum numbers of the $\Lambda_c(2880)^+$ and$\Lambda_c(2940)^+$ resonances are measured. The constraints on the spin andparity for the $\Lambda_c(2940)^+$ state are obtained for the first time. Anear-threshold enhancement in the $D^0 p$ amplitude is investigated and foundto be consistent with a new resonance, denoted the $\Lambda_c(2860)^+$, of spin$3/2$ and positive parity.

Study of the $D^0 p$ amplitude in $\Lambda_b^0\to D^0 p \pi^-$ decays