{ "id": "0912.1989", "version": "v3", "published": "2009-12-10T12:50:45.000Z", "updated": "2010-04-12T09:24:39.000Z", "title": "Muon Capture in Deuterium", "authors": [ "P. Ricci", "E. Truhlik", "B. Mosconi", "J. Smejkal" ], "comment": "35 pages, version published in Nucl. Phys. A 837 (2010) 110-144", "doi": "10.1016/j.nuclphysa.2010.02.009", "categories": [ "nucl-th", "nucl-ex" ], "abstract": "Model dependence of the capture rates of the negative muon capture in deuterium is studied starting from potential models and the weak two-body meson exchange currents constructed in the tree approximation and also from an effective field theory. The tree one-boson exchange currents are derived from the hard pion chiral Lagrangians of the $N \\Delta \\pi \\rho \\omega a_1$ system. If constructed in conjunction with the one-boson exchange potentials, the capture rates can be calculated consistently. On the other hand, the effective field theory currents, constructed within the heavy baryon chiral perturbation theory, contain a low energy constant $\\hat d ^R$ that cannot be extracted from data at the one-particle level nor determined from the first principles. Comparative analysis of the results for the doublet transition rate allows us to extract the constant $\\hat d ^R$.", "revisions": [ { "version": "v3", "updated": "2010-04-12T09:24:39.000Z" } ], "analyses": { "subjects": [ "12.39.Fe", "21.45.Bc", "23.40.-s" ], "keywords": [ "muon capture", "weak two-body meson exchange currents", "heavy baryon chiral perturbation theory", "effective field theory" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nuclear Physics A", "year": 2010, "month": "Jun", "volume": 837, "number": 1, "pages": 110 }, "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable", "inspire": 839503, "adsabs": "2010NuPhA.837..110R" } } }