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    Comparison of Pauli projection and supersymetric transformation methods for three-body nuclear structure and reactions

    A. Deltuva

    • Institute of Theoretical Physics and Astronomy, Vilnius University, Saulėtekio al. 3, LT-10257 Vilnius, Lithuania

    Phys. Rev. C 113, 034302 – Published 2 March, 2026

    DOI: https://doi.org/10.1103/k962-3236

    Abstract

    Three-body Faddeev-type equations for bound, resonant, and scattering states in systems with a nuclear core and two nucleons are solved using the momentum-space framework. Two approaches for eliminating the Pauli-forbidden deeply bound states are compared: projecting out those states by using a nonlocal term in the potential, and by using a supersymmetric transformation of the potential. While the former method is preferred by the experimental data for deuteron-He4 scattering, the results for bound and resonant states do not indicate a clear superiority of a single method. Instead, systematic differences between them are found.

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