Charmed Baryon Weak Decays with Vector Mesons

We give a systematic study of ${\bf B}_c\to {\bf B}_n V$ decays, where ${\bf B}_c$ and ${\bf B}_n$ correspond to the anti-triplet charmed and octet baryons, respectively, while $V$ stand for the vector mesons. We calculate the color-symmetric contributions to the decays from the effective Hamiltonian with the factorization approach and extract the anti-symmetric ones based on the experimental measurements and $SU(3)_F$ flavor symmetry. We find that most of the existing experimental data for ${\bf B}_c\to {\bf B}_n V$ are consistent with our fitting results. We present all the branching ratios of the Cabbibo allowed, singly Cabbibo suppressed and doubly Cabbibo suppressed decays of ${\bf B}_c\to {\bf B}_n V$. The decay parameters for the daughter baryons and mesons in ${\bf B}_c\to {\bf B}_n V$ are also evaluated. In particular, we point out that the Cabbibo allowed decays of $\Lambda_c^+ \to \Lambda^0 \rho^+$ and $\Xi_c^0 \to \Xi^- \rho^+$ as well as the singly Cabbibo suppressed ones of $\Lambda_c^+ \to \Lambda^0 K^{*+}$, $\Xi_c^+ \to \Sigma^+ \phi$ and $\Xi_c^0\to \Xi^- K^{*+}$ have large branching ratios and decay parameters with small uncertainties, which can be tested by the experimental searches at the charm facilities.