Pole position of $\mathrm{\Lambda }(1405)$ measured in $d(K^{-},n)\pi \mathrm{\Sigma }$ reactions

We measured a set of ${\pi }^{\pm }{\mathrm{\Sigma }}^{\mp }$, ${\pi }^0{\mathrm{\Sigma }}^0$, and ${\pi }^{-}{\mathrm{\Sigma }}^0$ invariant mass spectra below and above the $\bar{K}N$ mass threshold in $K^{-}$-induced reactions on deuteron. We deduced the $S$-wave $\bar{K}N\to \pi \mathrm{\Sigma }$ and $\bar{K}N\to \bar{K}N$ scattering amplitudes in the isospin 0 channel in the framework of a $\bar{K}N$ and $\pi \mathrm{\Sigma }$ coupled channel. We find that a resonance pole corresponding to $\mathrm{\Lambda }(1405)$ is located at 1417.7${}_{-7.4}^{+6.0}$(fitting errors)${}_{-1.0}^{+1.1}$(systematic errors) + $[-26.1_{-7.9}^{+6.0}$(fitting errors)${}_{-2.0}^{+1.7}$(systematic errors)]$i$ MeV/$c^2$, closer to the $\bar{K}N$ mass threshold than the value determined by the Particle Data Group.