Study of decays of theΛc+

We report measurements of the decays ${\Lambda }_c^{+}\to p{\overline{K}}^0$, ${\Lambda }_c^{+}\to p{\overline{K}}^0{\pi }^{+}{\pi }^{-}$, ${\Lambda }_c^{+}\to {\Lambda }^0{\pi }^{+}$, and ${\Lambda }_c^{+}\to {\Lambda }^0{\pi }^{+}{\pi }^{+}{\pi }^{-}$ from Fermilab photoproduction experiment E691. We have measured the relative branching ratios $\frac{B({\Lambda }_c^{+}\to p{\overline{K}}^0)}{B({\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+})}=0.55\mathrm{}\pm 0.17\pm 0.14$, $\frac{B({\Lambda }_c^{+}\to {\Lambda }^0{\pi }^{+}{\pi }^{+}{\pi }^{-})}{B({\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+})=0.82\mathrm{}\pm 0.29\pm 0.27}$, $\frac{B({\Lambda }_c^{+}\to {\Lambda }^0{\pi }^{+})}{B({\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+})<\mathrm{}0.33\mathrm{}}$ at 90% confidence level, and $\frac{B({\Lambda }_c^{+}\to p{\overline{K}}^0{\pi }^{+}{\pi }^{-})}{B({\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+})}<1.7\mathrm{}$ at 90% confidence level.