{ "id": "0902.4295", "version": "v2", "published": "2009-02-25T06:58:45.000Z", "updated": "2009-06-02T05:50:33.000Z", "title": "Study of \\bar B\\to Λ_c\\bar Λ_c and \\bar B\\to Λ_c\\bar Λ_c \\bar K", "authors": [ "Hai-Yang Cheng", "Chun-Khiang Chua", "Yu-Kuo Hsiao" ], "comment": "16 pages, 3 figures, 3 tables, version to appear in PRD", "journal": "Phys.Rev.D79:114004,2009", "doi": "10.1103/PhysRevD.79.114004", "categories": [ "hep-ph", "hep-ex" ], "abstract": "We study the doubly charmful two-body and three-body baryonic B decays $\\bar B\\to \\Lambda_c^+\\bar \\Lambda_c^-$ and $\\bar B\\to \\Lambda_c^+\\bar \\Lambda_c^- \\bar K$. As pointed out before, a naive estimate of the branching ratio ${\\cal O}(10^{-8})$ for the latter decay is too small by three to four orders of magnitude compared to experiment. Previously, it has been shown that a large enhancement for the $\\Lambda_c^+\\bar\\Lambda_c^-\\bar K$ production can occur due to a charmonium-like resonance (e.g. X(4630) discovered by Belle) with a mass near the $\\Lambda_c\\bar\\Lambda_c$ threshold. Motivated by the BaBar's observation of a resonance in the $\\Lambda_c \\bar K$ system with a mass of order 2930 MeV, we study in this work the contribution to $\\bar B\\to\\Lambda_c^+\\bar\\Lambda_c^-\\bar K$ from the intermediate state $\\Xi_c(2980)$ which is postulated to be a first positive-parity excited $D$-wave charmed baryon state. Assuming that a soft $q\\bar q$ quark pair is produced through the $\\sigma$ and $\\pi$ meson exchanges in the configuration for $\\bar B\\to \\Xi_c(2980)\\bar\\Lambda_c$ and $\\Lambda_c\\bar\\Lambda_c$, it is found that branching ratios of $\\bar B\\to \\Lambda_c^+\\bar \\Lambda_c^- \\bar K$ and $\\bar B\\to \\Lambda_c^+\\bar \\Lambda_c^-$ are of order $3.5\\times 10^{-4}$ and $5\\times 10^{-5}$, respectively, in agreement with experiment except that the prediction for the $\\Lambda_c\\bar\\Lambda_c K^-$ is slightly smaller. In conjunction with our previous analysis, we conclude that the enormously large rate of $\\bar B\\to \\Lambda_c^+\\bar \\Lambda_c^-\\bar K$ arises from the resonances $\\Xi_c(2980)$ and X(4630).", "revisions": [ { "version": "v2", "updated": "2009-06-02T05:50:33.000Z" } ], "analyses": { "subjects": [ "13.25.Hw", "14.40.Nd" ], "keywords": [ "branching ratio", "wave charmed baryon state", "first positive-parity", "experiment", "large enhancement" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2009, "month": "Jun", "volume": 79, "number": 11, "pages": 114004 }, "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "inspire": 814146, "adsabs": "2009PhRvD..79k4004C" } } }