{ "id": "0911.4013", "version": "v1", "published": "2009-11-20T11:08:55.000Z", "updated": "2009-11-20T11:08:55.000Z", "title": "Structure of A=7 iso-triplet $Λ$ hypernuclei studied with he four-body model", "authors": [ "E. Hiyama", "Y. Yamamoto", "T. Motoba", "M. Kamimura" ], "comment": "12 pages, 9 figures, To be published in Phys. Rev. C", "journal": "Phys.Rev.C80:054321,2009", "doi": "10.1103/PhysRevC.80.054321", "categories": [ "nucl-th" ], "abstract": "The structure of the T=1 iso-triplet hypernuclei, $^7_{\\Lambda}$He, $^7_{\\Lambda}$Li and $^7_{\\Lambda}$Be within the framework of an $\\alpha +\\Lambda +N+N$ four-body cluster model is studied. Interactions between the constituent subunits are determined so as to reproduce reasonably well the observed low-energy properties of the $\\alpha N$, $\\alpha \\Lambda$, $\\alpha NN$ and $\\alpha \\Lambda N$ subsystems. Furthermore, the two-body $\\Lambda N$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of $^4_{\\Lambda}$H. Also a phenomenological $\\Lambda N$ charge symmetry breaking(CSB) interaction is introduced. The $\\Lambda$ binding energy of the ground state in $^7_{\\Lambda}$He is predicted to be 5.16(5.36) MeV with(without) the CSB interaction. The calculated energy splittings of the $3/2^+$-$5/2^+$ states in $^7_{\\Lambda}$He and $^7_{\\Lambda}$Li are around 0.1 MeV. We point out that there is a three-layer structure of the matter distribution, $\\alpha$ particle, $\\Lambda$ skin, proton or neutron halo, in the $^7_{\\Lambda}{\\rm He}(J=5/2^+)$, $^7_{\\Lambda}{\\rm Li}(J=5/2^+)$ and $^7_{\\Lambda}{\\rm Be}(J=1/2^+)$ states.", "revisions": [ { "version": "v1", "updated": "2009-11-20T11:08:55.000Z" } ], "analyses": { "subjects": [ "21.10.Dr", "21.80.+a", "21.60.Gx", "21.45.-v" ], "keywords": [ "four-body model", "four-body cluster model", "constituent subunits", "low-energy properties", "charge symmetry" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2009, "month": "Nov", "volume": 80, "number": 5, "pages": "054321" }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 837444, "adsabs": "2009PhRvC..80e4321H" } } }