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SU(3) symmetry breaking in charmed baryon decays
Authors:C. Q. Geng  Y. K. Hsiao  Chia-Wei Liu  Tien-Hsueh Tsai
Affiliation:1.School of Physics and Information Engineering,Shanxi Normal University,Linfen,China;2.Department of Physics,National Tsing Hua University,Hsinchu,Taiwan
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}_crightarrow 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^0rightarrow 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.
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