{ "id": "1206.0046", "version": "v1", "published": "2012-05-31T22:30:17.000Z", "updated": "2012-05-31T22:30:17.000Z", "title": "Ab initio calculations of nuclear widths via an integral relation", "authors": [ "Kenneth M. Nollett" ], "comment": "26 pages, 9 figures, submitted to Phys. Rev. C", "journal": "Physical Review C 86, 044330 (2012)", "doi": "10.1103/PhysRevC.86.044330", "categories": [ "nucl-th" ], "abstract": "I describe the computation of energy widths of nuclear states using an integral over the interaction region of ab initio variational Monte Carlo wave functions, and I present calculated widths for many states. I begin by presenting relations that connect certain short-range integrals to widths. I then present predicted widths for 5 <= A <= 9 nuclei, and I compare them against measured widths. They match the data more closely and with less ambiguity than estimates based on spectroscopic factors. I consider the consequences of my results for identification of observed states in ^8B, ^9He, and ^9Li. I also examine failures of the method and conclude that they generally involve broad states and variational wave functions that are not strongly peaked in the interaction region. After examining bound-state overlap functions computed from a similar integral relation, I conclude that overlap calculations can diagnose cases in which computed widths should not be trusted.", "revisions": [ { "version": "v1", "updated": "2012-05-31T22:30:17.000Z" } ], "analyses": { "subjects": [ "21.60.De", "02.70.Ss", "27.20.+n", "21.10.Tg" ], "keywords": [ "ab initio calculations", "integral relation", "nuclear widths", "monte carlo wave functions", "initio variational monte carlo wave" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2012, "month": "Oct", "volume": 86, "number": 4, "pages": "044330" }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1116916, "adsabs": "2012PhRvC..86d4330N" } } }