Sum rules for CP asymmetries of charmed baryon decays in the SU(3)Fdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$SU(3)_F$$end{document} limit

摘要

Motivated by the recent LHCb observation of CP violation in charm, we study CP violation in the charmed baryon decays. A simple method to search for the CP violation relations in the flavor SU(3) limit, which is associated with a complete interchange of d and s quarks, is proposed. With this method, hundreds of CP violation sum rules in the doubly and singly charmed baryon decays can be found. As examples, the CP violation sum rules in two-body charmed baryon decays are presented. Some of the CP violation sum rules could help the experiment to find better observables. As byproducts, the branching fraction of Ξc+→pK-π+documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$Xi ^+_cightarrow pK^-pi ^+$$end{document} is predicted to be (1.7±0.5)%documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$(1.7pm 0.5)%$$end{document} in the U-spin limit and the fragmentation–fraction ratio is determined to be fΞb/fΛb=0.065±0.020documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$f_{Xi _b}/f_{Lambda _b}=0.065pm 0.020$$end{document} using the LHCb data.