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

摘要

A bstract 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 + documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {Lambda}_c^{+}o {Xi}^0{K}^{+} $$end{document} 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 documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{B}left({Lambda}_c^{+}o p{pi}^0ight)=left({0.8}_{-0.8}^{+0.9}ight)imes {10}^{-4} $$end{document} ,which is within the experimental upper bound. Particularly, we obtain B Ξ c + → Ξ 0 π + = 9.3 ± 3.6 × 10 ? 3 documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{B}left({Xi}_c^{+}o {Xi}^0{pi}^{+}ight)=left(9.3pm 3.6ight)imes {10}^{-3} $$end{document} , B Ξ c 0 → Ξ ? π + Λ 0 K ˉ 0 = 19.3 ± 2.8 8.3 ± 5.0 × 10 ? 2 documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{B}left({Xi}_c^0o {Xi}^{-}{pi}^{+},{Lambda}^0{overline{K}}^0ight)=left(19.3pm 2.8,8.3pm 5.0ight)imes {10}^{-2} $$end{document} and B Ξ c 0 → Ξ ? K + = 5.6 ± 0.8 × 10 ? 4 documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{B}left({Xi}_c^0o {Xi}^{-}{K}^{+}ight)=left(5.6pm 0.8ight)imes {10}^{-4} $$end{document} , which all agree with the data. For the singly Cabibbo suppressed Λ c + documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {Lambda}_c^{+} $$end{document} 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 documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{B}left({Lambda}_c^{+}o n{pi}^{+}, peta hbox{'},{Sigma}^{+}{K}^0ight)=left(7.7pm 2.0,7.1pm 1.4,19.1pm 4.8ight)imes 10-4 $$end{document} , which are accessible to the experiments at BESIII, BELLEII and LHCb.