Explore the properties of $\mathrm{\Lambda }(1670)$ in the Cabibbo-favored process ${\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+}$ decay

Recently, the Belle and LHCb Collaborations have measured the ${\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and reported the $p{K}^{-}$ invariant mass distribution, which shows a clear cusp structure around the $\eta \mathrm{\Lambda }$ threshold. In this work, we have analyzed this process by considering the triangle mechanism and the $S$-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach, which dynamically generate the $\mathrm{\Lambda }(1670)$. Our results are in good agreement with the Belle measurements, which implies that the cusp structure around $\eta \mathrm{\Lambda }$ threshold could be associated with the $\mathrm{\Lambda }(1670)$ with the molecular nature.