SU(3) symmetry breaking in charmed baryon decays

Abstract

We explore the breaking effects of the SU(3) flavor symmetry in the singly Cabibbo-suppressed anti-triplet charmed baryon decays of \[\mathbf{B}_c\rightarrow \mathbf{B}_n M\], with \[\mathbf{B}_c=(\Xi _c^0,\Xi _c^+,\Lambda _c^+)\] and \[\mathbf{B}_n(M)\] the baryon (pseudo-scalar) octets. We find that these breaking effects can be used to account for the experimental data on the decay branching ratios of \[{\mathcal {B}}(\Lambda _c^+\rightarrow \Sigma ^{0} K^{+},\Lambda ^{0} K^{+})\] and \[R'_{K/\pi }={\mathcal {B}}(\Xi ^0_c \rightarrow \Xi ^- K^+)\]/\[{\mathcal {B}}(\Xi ^0_c \rightarrow \Xi ^- \pi ^+)\]. In addition, we obtain that \[{\mathcal {B}}(\Xi _{c}^{0} \rightarrow \Xi ^{-} K^{+},\Sigma ^{-} \pi ^{+})=(4.6 \pm 1.7,12.8 \pm 3.1)\times 10^{-4}\], \[{\mathcal {B}}(\Xi _c^0\rightarrow pK^-,\Sigma ^+\pi ^-)=(3.0 \pm 1.0, 5.2 \pm 1.6)\times 10^{-4}\] and \[{\mathcal {B}}(\Xi _c^+\rightarrow \Sigma ^{0(+)} \pi ^{+(0)})=(10.3 \pm 1.7)\times 10^{-4}\], which all receive significant contributions from the breaking effects, and can be tested by the BESIII and LHCb experiments.