{ "id": "0812.1947", "version": "v2", "published": "2008-12-10T16:13:26.000Z", "updated": "2009-03-30T13:59:21.000Z", "title": "Relativistic QRPA calculation of muon capture rates", "authors": [ "T. Marketin", "N. Paar", "T. Niksic", "D. Vretenar" ], "comment": "19 pages, 5 figures, submitted to Phys. Rev. C", "journal": "Phys.Rev.C79:054323,2009", "doi": "10.1103/PhysRevC.79.054323", "categories": [ "nucl-th" ], "abstract": "The relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is applied in the calculation of total muon capture rates on a large set of nuclei from $^{12}$C to $^{244}$Pu, for which experimental values are available. The microscopic theoretical framework is based on the Relativistic Hartree-Bogoliubov (RHB) model for the nuclear ground state, and transitions to excited states are calculated using the PN-RQRPA. The calculation is fully consistent, i.e., the same interactions are used both in the RHB equations that determine the quasiparticle basis, and in the matrix equations of the PN-RQRPA. The calculated capture rates are sensitive to the in-medium quenching of the axial-vector coupling constant. By reducing this constant from its free-nucleon value $g_A = 1.262$ by 10% for all multipole transitions, the calculation reproduces the experimental muon capture rates to better than 10% accuracy.", "revisions": [ { "version": "v2", "updated": "2009-03-30T13:59:21.000Z" } ], "analyses": { "subjects": [ "25.30.Mr", "23.40.Bw", "24.30.Cz", "21.60.Jz" ], "keywords": [ "relativistic qrpa calculation", "proton-neutron quasiparticle random phase approximation", "relativistic proton-neutron quasiparticle random phase", "total muon capture rates", "experimental muon capture rates" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2009, "month": "May", "volume": 79, "number": 5, "pages": "054323" }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "inspire": 804893, "adsabs": "2009PhRvC..79e4323M" } } }