{ "id": "2408.05656", "version": "v1", "published": "2024-08-10T23:48:09.000Z", "updated": "2024-08-10T23:48:09.000Z", "title": "Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States", "authors": [ "M. A. Sharaf", "A. M. Shirokov", "W. Du", "J. P. Vary" ], "comment": "26 pages, 28 figures", "categories": [ "nucl-th" ], "abstract": "We apply the Hulth\\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This method is promising for many-body applications and ab initio description of nuclear reactions. We explore the convergence of phase shifts and wave functions as well as the location of S-matrix poles which enables obtaining both resonance and bound state parameters. We find that adopting wave functions from approximate bound-state solutions for the short-range components of basis wave functions leads to good convergence.", "revisions": [ { "version": "v1", "updated": "2024-08-10T23:48:09.000Z" } ], "analyses": { "keywords": [ "modified hulthén-kohn method", "scattering states", "bound state parameters", "basis wave functions", "approximate bound-state solutions" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }