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    Applications of the modified Hulthén-Kohn method for bound and scattering states

    Mamoon A. Sharaf1,2,*, Andrey M. Shirokov3, Weijie Du1,2,†, and James P. Vary2

    • *Contact author: msharaf@iastate.edu
    • †Contact author: duweigy@gmail.com

    Phys. Rev. C 112, 024617 – Published 27 August, 2025

    DOI: https://doi.org/10.1103/bhgh-d9s7

    Abstract

    We adapt the Hulthén–Kohn method suggested by 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. 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 employing a harmonic oscillator basis, together with an interaction smoothing scheme introduced by Gyarmati et al. [Nucl. Phys. A 326, 119 (1979)], and adopting approximate bound-state solutions for the short-range components of basis wave functions lead to good convergence even with restricted oscillator quanta accessible for modern no-core shell model codes. The adapted Efros method will facilitate ab initio many-body nuclear structure applications.

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