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    Search for the double poles of the scattering matrix in light nuclei

    David Cardona Ochoa1, Marek Płoszajczak1, and Nicolas Michel2,3

    Phys. Rev. C 114, 024311 – Published 5 August, 2026

    DOI: https://doi.org/10.1103/ykjr-796z

    Abstract

    Exceptional points (EPs) are non-Hermitian degeneracies at which two eigenvalues and their eigenvectors coalesce, producing a defective Hamiltonian and a double pole of the S-matrix. Using the coupled-channel Gamow shell model with the ℓ=1 spin-orbit strengths as control parameters, we locate and characterize EPs in Li6, Li7, Be7, and Be8, and we analyze their imprint on energies, widths, phase rigidity, spectroscopic factors, elastic cross sections, survival probabilities, and spectral functions. The signatures of the EP in scattering and time-domain observables are found to be strongly channel-dependent, and threshold effects play a decisive role in determining the accessibility of the EP in parameter space.

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