{ "id": "1910.12627", "version": "v1", "published": "2019-10-28T12:59:10.000Z", "updated": "2019-10-28T12:59:10.000Z", "title": "Energies and radii of light nuclei around unitarity", "authors": [ "Sebastian König" ], "comment": "14 pages, 3 figures. Prepared as contribution to the EPJA topical issue \"The tower of effective (field) theories and the emergence of nuclear phenomena.\"", "categories": [ "nucl-th" ], "abstract": "Light nuclei fall within a regime of universal physics governed by the fact that the two-nucleon scattering lengths are large compared to the typical nuclear interaction range set by one-pion exchange. This places nuclear physics near the so-called unitarity limit in which the scattering lengths are exactly infinite. Effective field theory provides a powerful theoretical framework to capture this separation of scales in a systematic way. It is shown here that the nuclear force can be constructed as a perturbative expansion around the unitarity limit and that this expansion has good convergence properties for both the binding energies of $A=3,4$ nuclei as well as for the radii of these states.", "revisions": [ { "version": "v1", "updated": "2019-10-28T12:59:10.000Z" } ], "analyses": { "keywords": [ "unitarity limit", "typical nuclear interaction range set", "scattering lengths", "light nuclei fall", "places nuclear physics" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }