{ "id": "1701.00869", "version": "v1", "published": "2017-01-03T23:43:48.000Z", "updated": "2017-01-03T23:43:48.000Z", "title": "Non-coherent character of isoscalar pairing probed with Gamow-Teller strength: New insight into $^{14}$C dating $β$ decay", "authors": [ "Yutaka Utsuno", "Yoshitaka Fujita" ], "comment": "5 pages, 3 figures", "categories": [ "nucl-th", "nucl-ex" ], "abstract": "We investigate the phase coherence of isoscalar pairs from the $B({\\rm GT};0^+_1\\,T\\!=\\!1 \\to 1^+_1\\,T\\!=\\!0)$ values in two-particle configurations of $A=6$, 18, and 42 nuclei and two-hole configurations of $A=14$ and 38 ones. We find that these Gamow-Teller (GT) matrix elements are always constructive and thus enlarged under isovector- and isoscalar-pairing Hamiltonians, whereas the observed GT strengths are strongly hindered for the two-hole configurations, including the famous $^{14}$C dating $\\beta$ decay. This indicates that the actual isoscalar pair, unlike the isovector pair, has no definite phase coherence, which can work against forming isoscalar-pair condensates.", "revisions": [ { "version": "v1", "updated": "2017-01-03T23:43:48.000Z" } ], "analyses": { "keywords": [ "gamow-teller strength", "non-coherent character", "two-hole configurations", "actual isoscalar pair", "definite phase coherence" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }