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

Abstract: We study the decays of the anti-triplet charmed baryon state $(\Xi_c^0,\Xi_c^+,\Lambda_c^+)$ 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 ${\cal B}(\Xi_c^+\to\Xi^-\pi^+\pi^+)=(14.7\pm 8.4)\times 10^{-3}$, we extract that ${\cal B}(\Xi_c^0\to\Lambda K^-\pi^+,\Lambda K^+K^-,\Xi^- e^+\nu_e)=(16.8\pm 2.3,0.45\pm 0.11,48.7\pm 17.4)\times 10^{-3}$ and ${\cal B}(\Xi_c^+\to p K_s^0 K_s^0,\Sigma^+ K^-\pi^+,\Xi^0\pi^+\pi^0,\Xi^0 e^+\nu_e)=(1.3\pm 0.8,13.8\pm 8.0,33.8\pm 21.9,33.8^{+21.9}_{-22.6})\times 10^{-3}$. We also find that ${\cal B}(\Xi_c^0\to \Xi^{0} \eta,\Xi^{0} \eta')=(1.7 ^{+ 1.0 }{- 1.7 },8.6 ^{+ 11.0 }{-\;\,6.3 })\times 10^{-3}$, ${\cal B}(\Xi_c^0\to \Lambda^{0} \eta,\Lambda^{0} \eta')=(1.6 ^{+ 1.2 }{- 0.8 },9.4 ^{+ 11.6 }{-\;\,6.8 })\times 10^{-4}$ 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 $\Xi_c$ decays with the branching ratios of $O(10^{-4}-10^{-3})$ are clearly promising to be observed by the BESIII and LHCb experiments.