Anti-triplet charmed baryon decays with SU(3) Flavor Symmetry

We study the decays of the anti-triplet charmed baryon state $({\mathrm{\Xi }}_c^0,{\mathrm{\Xi }}_c^{+},{\mathrm{\Lambda }}_c^{+})$ based on the $SU(3)$ flavor symmetry. In particular, after predicting ${\cal B}(\Xi_c^0\to \Xi^-\pi^+)=(15.7 \pm 0.7)\times 10^{-3}$and${\cal B}(\Xi_c^+\to\Xi^-\pi^+\pi^+)=(14.7\pm 8.4)\times 10^{-3}$,weextractthat${\cal B}(\Xi_c^0\to\Lambda K^-\pi^+,\Lambda K^+K^-,\Xi^- e^+\nu_e)=(16.8\pm 2.3,0.45\pm 0.11,48.7\pm 17.4)\times 10^{-3}$and${\cal B}(\Xi_c^+\to p K_s^0 K_s^0,\Sigma^+ K^-\pi^+,\Xi^0\pi^+\pi^0,\Xi^0 e^+\nu_e)=(1.3\pm 0.8,13.8\pm 8.0,33.8\pm 21.9,33.8^{+21.9}{-22.6})\times 10^{-3}$\mathrm{.}Wealsofindthat${\cal B}(\Xi_c^0\to \Xi^{0} \eta,\Xi^{0} \eta’)=(1.7 ^{+ 1.0 }{- 1.7 },8.6 ^{+ 11.0 }{-;,6.3 })\times 10^{-3}$,${\cal B}(\Xi_c^0\to \Lambda^{0} \eta,\Lambda^{0} \eta’)=(1.6 ^{+ 1.2 }{- 0.8 },9.4 ^{+ 11.6 }{-;,6.8 })\times 10^{-4}$and${\cal B}(\Xi_c^+\to \Sigma^{+} \eta,\Sigma^{+} \eta’)=(28.4 ^{+ 8.2 }{- 6.9 },13.2 ^{+ 24.0 }_{- 11.9 })\times 10^{-4}$. These ${\mathrm{\Xi }}_c$ decays with the branching ratios of $O({10}^{-4}-{10}^{-3})$ are clearly promising to be observed by the BESIII and LHCb experiments.