Analysis of the Crystal Ball data on $K^{-}p\to {\pi }^0{\mathrm{\Sigma }}^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV

With an effective Lagrangian approach, we analyze the $K^{-}p\to {\pi }^0{\mathrm{\Sigma }}^0$ reaction to study the $\mathrm{\Lambda }$ hyperon resonances by fitting the Crystal Ball data on differential cross sections and ${\mathrm{\Sigma }}^0$ polarization with the center-of-mass energies of $1536\sim 1676$ MeV. Besides well established PDG 4-star $\mathrm{\Lambda }$ resonances around this energy range, the $\Lambda(1600){1\over 2}^+$ resonance, listed as a 3-star resonance in PDG, is found to be definitely needed. In addition, there is strong evidence for the existence of a new $\mathrm{\Lambda }({\frac{3}{2}}^{+})$ resonance around 1680 MeV.