{ "id": "1207.5300", "version": "v2", "published": "2012-07-23T05:51:21.000Z", "updated": "2012-09-11T19:46:50.000Z", "title": "Dressed-quarks and the nucleon's axial charge", "authors": [ "Lei Chang", "Craig D. Roberts", "Sebastian M. Schmidt" ], "comment": "10 pages, 3 figures", "categories": [ "nucl-th", "hep-lat", "hep-ph", "nucl-ex" ], "abstract": "The nucleon's axial charge, g_A, expresses features that are both fundamental to the strong interaction and crucial to its connection with weak interaction physics. We show that dynamical chiral symmetry breaking (DCSB) suppresses the axial-charge of a dressed-quark, g_A^q, at infrared momenta. Since this effect disappears as chiral symmetry is restored, one may argue that g_A vanishes with the restoration of chiral symmetry because no nucleon bound-state survives the associated transition. The suppression of g_A^q is shown to be part of an explanation for a 25% reduction of g_A from its nonrelativistic quark-model value. Critical too, however, is the presence of dressed-quark angular momentum within the nucleon. The value of g_A^q depends on the kernels of the gap and Bethe-Salpeter equations. We find that incorporation of essentially nonperturbative effects associated with DCSB into these kernels inflates the value relative to that obtained at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations. Such corrections also affect the nucleon's axial radius. In both cases, however, agreement with experiment will require similar improvements to the Faddeev kernel and associated interaction current.", "revisions": [ { "version": "v2", "updated": "2012-09-11T19:46:50.000Z" } ], "analyses": { "subjects": [ "12.38.Lg", "12.38.Aw", "12.15.-y", "14.20.Dh" ], "keywords": [ "nucleons axial charge", "chiral symmetry", "nonrelativistic quark-model value", "weak interaction physics", "nucleon bound-state survives" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevC.87.015203", "journal": "Physical Review C", "year": 2013, "month": "Jan", "volume": 87, "number": 1, "pages": "015203" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1123511, "adsabs": "2013PhRvC..87a5203C" } } }