Search for the double poles of the scattering matrix in light nuclei
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 -matrix. Using the coupled-channel Gamow shell model with the spin-orbit strengths as control parameters, we locate and characterize EPs in , , , and , 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.