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Applications of the Modified Hulth\'en-Kohn Method for Bound and Scattering States

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arxiv 2408.05656 v2 pith:P7IREIAR submitted 2024-08-10 nucl-th

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keywords functionsmethodwaveapplicationsboundconvergenceen-kohnhulth
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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.

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    nucl-th 2025-05 conditional novelty 6.0 of 10

    A quantum-classical resolvent method with a new fermionic block-encoding input scheme computes the spectrum and J values of 20O in a truncated sd-shell space, matching classical diagonalization.

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