A Diagrammatic Analysis of Two-Body Charmed Baryon Decays with Flavor Symmetry

Abstract We study the two-body anti-triplet charmed baryon decays based on the diagrammatic approach with SU(3) flavor symmetry. We extract the two W -exchange effects as E B and E' that contribute to the Λ c + → Ξ 0 K + $$ {\Lambda}_c^{+}\to {\Xi}^0{K}^{+} $$ decay, together with the relative phases, where E B gives the main contribution. Besides, we find that B Λ c + → p π 0 = 0.8 − 0.8 + 0.9 × 10 − 4 $$ \mathcal{B}\left({\Lambda}_c^{+}\to p{\pi}^0\right)=\left({0.8}_{-0.8}^{+0.9}\right)\times {10}^{-4} $$,which is within the experimental upper bound. Particularly, we obtain B Ξ c + → Ξ 0 π + = 9.3 ± 3.6 × 10 − 3 $$ \mathcal{B}\left({\Xi}_c^{+}\to {\Xi}^0{\pi}^{+}\right)=\left(9.3\pm 3.6\right)\times {10}^{-3} $$, B Ξ c 0 → Ξ − π + Λ 0 K ¯ 0 = 19.3 ± 2.8 8.3 ± 5.0 × 10 − 2 $$ \mathcal{B}\left({\Xi}_c^0\to {\Xi}^{-}{\pi}^{+},{\Lambda}^0{\overline{K}}^0\right)=\left(19.3\pm 2.8,8.3\pm 5.0\right)\times {10}^{-2} $$ and B Ξ c 0 → Ξ − K + = 5.6 ± 0.8 × 10 − 4 $$ \mathcal{B}\left({\Xi}_c^0\to {\Xi}^{-}{K}^{+}\right)=\left(5.6\pm 0.8\right)\times {10}^{-4} $$, which all agree with the data. For the singly Cabibbo suppressed Λ c + $$ {\Lambda}_c^{+} $$ decays, we predict that B Λ c + → n π + pη ' Σ + K 0 = 7.7 ± 2.0 7.1 ± 1.4 19.1 ± 4.8 × 10 − 4 $$ \mathcal{B}\left({\Lambda}_c^{+}\to n{\pi}^{+}, p\eta \hbox{'},{\Sigma}^{+}{K}^0\right)=\left(7.7\pm 2.0,7.1\pm 1.4,19.1\pm 4.8\right)\times 10-4 $$, which are accessible to the experiments at BESIII, BELLEII and LHCb.

Abstract licence: CC BY

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