  The $K^- d \to \pi YN$reaction is theoretically studied so as to investigate
the $K^{-}$-induced production of the hyperon resonances $\Sigma (1385)$ and
$\Lambda (1405)$. For this purpose we take into account the p-wave amplitudes
for the meson-baryon two-body scatterings as well as the s-wave amplitudes. Due
to the fact that the hyperon resonances are selectively produced from the
$\bar{K} N$ channel in this reaction, the $\Lambda (1405)$ peak appears at 1420
MeV, which implies that $\Lambda (1405)$ and $\Sigma (1385)$ could be
separately seen in the missing mass spectrum of the emitted nucleon in the
$K^{-} d \to n X$ reaction. The $\pi Y$ invariant mass spectrum in this study
is consistent with experimental data both for $\Sigma (1385)$ and $\Lambda
(1405)$. The pion exchange contributions are also included and are found to
give smooth background without distorting the peak structure of the hyperon
resonances.
