Thèse de doctorat
Résumé : The thesis explores the resonant states in the energy continuum of light exotic nuclei, characterized by unusual neutron-to-proton ratios and weak binding near nuclear drip lines. It employs a microscopic model combining the Generator Coordinate Method (GCM) with a variant of the R-matrix method to study these nuclei.The study begins with an overview of nuclear models, contrasting collective and independent-particle approaches, and introduces cluster models for exotic nuclei. It applies the GCM and R-matrix method to describe nuclei as multi-center systems, using effective nucleon-nucleon interactions like Volkov V2 and Minnesota potentials. The study validates the model with the well-known 6He system (modeled as 4He+n+n), reproducing its 2+ resonant state, then extends to more complex systems: mirror nuclei 18O and 18Ne, 17N and 17Ne, and 14Be.Key findings include accurate reproduction of resonant states aligning with experimental data. The inclusion of core excited states proves crucial for precision, particularly in 17Ne and 14Be. The model’s simplicity compared to hyperspherical approaches enhances its applicability to complex nuclei.