Charmed baryon weak decays with vector mesons
C. Q. Geng, Chia-Wei Liu, Tien-Hsueh Tsai
Abstract
We give a systematic study of ${\mathbf{B}}_{c}\ensuremath{\rightarrow}{\mathbf{B}}_{n}V$ decays, where ${\mathbf{B}}_{c}$ and ${\mathbf{B}}_{n}$ correspond to the antitriplet charmed and octet baryons, respectively, while $V$ stands for the vector mesons. We calculate the color-symmetric contributions to the decays from the effective Hamiltonian with the factorization approach and extract the antisymmetric ones based on the experimental measurements and $SU(3{)}_{F}$ flavor symmetry. We find that most of the existing experimental data for ${\mathbf{B}}_{c}\ensuremath{\rightarrow}{\mathbf{B}}_{n}V$ are consistent with our fitting results. We present all the branching ratios of the Cabibbo allowed, singly Cabibbo suppressed, and doubly Cabibbo suppressed decays of ${\mathbf{B}}_{c}\ensuremath{\rightarrow}{\mathbf{B}}_{n}V$. The decay parameters for the daughter baryons and mesons in ${\mathbf{B}}_{c}\ensuremath{\rightarrow}{\mathbf{B}}_{n}V$ are also evaluated. In particular, we point out that the Cabibbo allowed decays of ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}^{0}{\ensuremath{\rho}}^{+}$ and ${\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}{\ensuremath{\rho}}^{+}$ as well as the singly Cabibbo suppressed ones of ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Lambda}}}^{0}{K}^{*+}$, ${\mathrm{\ensuremath{\Xi}}}_{c}^{+}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Sigma}}}^{+}\ensuremath{\phi}$, and ${\mathrm{\ensuremath{\Xi}}}_{c}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}{K}^{*+}$ have large branching ratios and decay parameters with small uncertainties, which can be tested by the experimental searches at the charm facilities.