{ "id": "1709.07967", "version": "v1", "published": "2017-09-22T22:23:43.000Z", "updated": "2017-09-22T22:23:43.000Z", "title": "Isospin Effect in Three-Body Kaonic Clusters", "authors": [ "I. Filikhin", "B. Vlahovic" ], "comment": "12 pages, 2 figures", "categories": [ "nucl-th" ], "abstract": "The kaonic clusters $K^{-}K^{-}p$ and $ppK^{-}$ are studied based on the configuration space Faddeev equations for $AAB$ system. The relation between the doubled binding energy of the $AB$ subsystem $2E_{2}$ and the three-body binding energy $E_{3}(V_{AA}=0)$, when the interaction between the identical particles is omitted, is considered. The isospin-less model leads to the relation $\\left\\vert E_{3}(V_{AA}=0)\\right\\vert >2\\left\\vert E_{2}\\right\\vert$. For the kaonic clusters, described within isospin formalism, the relation $\\left\\vert E_{3}(V_{AA}=0)\\right\\vert~<~2\\left\\vert E_{2}\\right\\vert$ is satisfied. Thus, the binding energy of the kaonic system $NN{\\bar K}$ is limited by $|E_3|\\le |2E_2|$ due to a weak attraction of the spin singlet $NN$ interaction.", "revisions": [ { "version": "v1", "updated": "2017-09-22T22:23:43.000Z" } ], "analyses": { "keywords": [ "three-body kaonic clusters", "isospin effect", "configuration space faddeev equations", "three-body binding energy", "interaction" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }