{ "id": "1805.04662", "version": "v1", "published": "2018-05-12T06:03:47.000Z", "updated": "2018-05-12T06:03:47.000Z", "title": "Examination of the $^{22}$C radius determination with interaction cross sections", "authors": [ "T. Nagahisa", "W. Horiuchi" ], "comment": "11 pages, 9 figures, to appear in Phys. Rev. C", "categories": [ "nucl-th", "nucl-ex" ], "abstract": "A nuclear radius of $^{22}$C is investigated with the total reaction cross sections at medium- to high-incident energies in order to resolve the radius puzzle in which two recent interaction cross section measurements using $^1$H and $^{12}$C targets show the quite different radii. The cross sections of $^{22}$C are calculated consistently for these target nuclei within a reliable microscopic framework, the Glauber theory. To describe appropriately such a reaction involving a spatially extended nucleus, the multiple scattering processes within the Glauber theory are fully taken into account, that is, the multi-dimensional integration in the Glauber amplitude is evaluated using a Monte Carlo technique without recourse to the optical-limit approximation. We discuss the sensitivity of the spatially extended halo tail to the total reaction cross sections. The root-mean-square matter radius obtained in this study is consistent with that extracted from the recent cross section measurement on $^{12}$C target. We show that the simultaneous reproduction of the two recent measured cross sections is not feasible within this framework.", "revisions": [ { "version": "v1", "updated": "2018-05-12T06:03:47.000Z" } ], "analyses": { "keywords": [ "total reaction cross sections", "radius determination", "glauber theory", "interaction cross section measurements", "examination" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }