Calculations of reaction observables at drip-lines with the coupled-channel Gamow shell model

Nicolas Michel (University of Chinese Academy of Sciences, Beijing, China)

The Gamow shell model (GSM) has shown to be a powerful tool to study nuclear structure at drip-lines. It is a shell model approach based on the Berggren basis, consisting of bound, resonance and scattering states. GSM has been extended to the coupled-channel GSM (GSM-CC) in order to calculate reaction observables. GSM is thereby used to generate nuclear targets, while coupled-channel equations provide the many-body scattering states of GSM-CC. It is then possible to calculate reaction cross sections involving drip-line nuclei.

We will then present the most recent applications of GSM-CC, of both experimental and astrophysical interests. They consist of nucleon-target elastic scattering and radiative capture cross sections involving weakly bound and resonance states of light nuclei, where continuum coupling is prominent. While GSM-CC was initially devised with nucleon projectiles, it is currently extended to the use of many-nucleon projectiles. The first applications in this context are the calculations of deuteron-alpha elastic scattering cross sections and (d,p) reaction cross sections with a calcium target. The elastic scattering cross sections of triton-alpha collisions have also been considered. Many-nucleon projectiles have lead to difficulties absent from the one-nucleon case, however. Possible solutions for that matter will be discussed.