{ "id": "1506.08530", "version": "v1", "published": "2015-06-29T07:52:06.000Z", "updated": "2015-06-29T07:52:06.000Z", "title": "$0νββ$ and $2νββ$ nuclear matrix elements in the interacting boson model with isospin restoration", "authors": [ "J. Barea", "J. Kotila", "F. Iachello" ], "comment": "arXiv admin note: text overlap with arXiv:1301.4203", "journal": "Physical Review C 91 034304 (2015)", "doi": "10.1103/PhysRevC.91.034304", "categories": [ "nucl-th" ], "abstract": "We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for $0\\nu\\beta\\beta$ and $2\\nu\\beta\\beta$ decay within the framework of interacting boson model (IBM-2). With this method, we calculate NME for all processes of interest in $0\\nu\\beta^-\\beta^-$, $2\\nu\\beta^-\\beta^-$, and in $0\\nu\\beta^+\\beta^+$, $0\\nu\\beta^+ EC^+$, $R0\\nu ECEC$, $2\\nu\\beta^+\\beta^+$, $2\\nu\\beta^+EC$, and $2\\nu ECEC$. With this method, the Fermi (F) matrix elements for $2\\nu\\beta\\beta$ vanish, and those for $0\\nu\\beta\\beta$ are considerably reduced.", "revisions": [ { "version": "v1", "updated": "2015-06-29T07:52:06.000Z" } ], "analyses": { "subjects": [ "23.40.Hc", "21.60.Fw", "27.50.+e", "27.60.+j" ], "keywords": [ "nuclear matrix elements", "interacting boson model", "isospin restoration", "calculation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1347174 } } }