Two-body charmed baryon decays involving vector meson with $SU(3)$ flavor symmetry

Abstract

We study the two-body anti-triplet charmed baryon decays of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}V$, with ${\mathbf{B}}_c=({\Xi }_c^0,-{\Xi }_c^{+},{\Lambda }_c^{+})$ and ${\mathbf{B}}_n(V)$ the baryon (vector meson) states. Based on the $SU(3)$ flavor symmetry, we predict that $\mathcal{B}({\Lambda }_c^{+}\to {\Sigma }^{+}{\rho }^0,{\Lambda }^0{\rho }^{+})=(0.61\pm 0.46,0.74\pm 0.34)\%$, in agreement with the experimental upper bounds of $(1.7,6)\%$, respectively. We also find $\mathcal{B}({\Lambda }_c^{+}\to {\Xi }^0{K}^{\ast +},{\Sigma }^0{K}^{\ast +},{\Lambda }^0{K}^{\ast +})=(8.7\pm 2.7,1.2\pm 0.3,2.0\pm 0.5)\times 10^{-3}$ to be compatible with the pseudoscalar counterparts. For the doubly Cabibbo-suppressed decay ${\Xi }_c^{+}\to p\varphi$, measured for the first time, we predict its branching ratio to be $(1.5\pm 0.7)\times 10^{-4}$, together with $\mathcal{B}({\Xi }_c^{+}\to p{\bar{K}}^{\ast 0},{\Sigma }^{+}\varphi )=(7.8\pm 2.2,1.9\pm 0.9)\times 10^{-3}$. The ${\mathbf{B}}_c\to {\mathbf{B}}_{n}V$ decays with $\mathcal{B}\simeq \mathcal{O}(10^{-4}-10^{-3})$ are accessible to the BESIII, BELLEII and LHCb experiments.

11 pages, 3 tables