Constraints due to partial conservation of axial-vector current and charmed-baryon couplings

The PCAC (partial conservation of axial-vector current) consistency conditions are derived for inelastic processes involving charmed baryons. Numerical estimates of the conditions for the processes $\pi C_0\to \pi C_0$, $\pi C_1\to \pi C_1$, $\pi C_0\to \pi C_1$, and $\pi C_0\to \pi C_1^{*}$, determined with the help of observed charmed-baryon contributions, ared used in determining the pion-charmed-baryon coupling strengths. We find that the value of $\frac{{g_{\pi C_1{C}_1}}^2}{4\pi }$ agrees well with the previously determined values obtained with the potential-model calculations. The decay widths of $C_1$ and $C_1^{*}$ into $C_0\pi$ channel also compare well with the results of Lee, Quigg, and Rosner. We also note that the remaining couplings ${g_{\pi C_1{C}_1}}^{*}$ and $g_{\pi C_1^{*}{C}_1^{*}}$ have very small values and thus $C_1^{*}$ completely decouples from $C_1\pi$ and $C_1^{*}\pi$ channels.