2023/06/21 by P. Vaandrager, Vaandrager, Paul, Jérémy Dohet-Eraly +3
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.2306.12216
openalex publication_date 2023/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The single-channel Jost function is calculated with the computational R-matrix on a Lagrange-Jacobi mesh, in order to study its behaviour at complex wavenumbers. Three potentials derived from supersymmetric transformations are used to test the accuracy of the method. Each of these potentials, with s-wave or p-wave bound, resonance or virtual states, has a simple analytical expression for the Jost function, which is compared with the calculated Jost function. Siegert states and Siegert pseudostates are determined by finding the zeros of the calculated Jost function. Poles of the exact Jost function are not present in the calculated Jost function due to the truncation of the potential in the R-matrix method. Instead, Siegert pseudostates arise in the vicinity of the missing poles.