Article révisé par les pairs
Résumé : Background: Aside from being a one-neutron halo nucleus, C15 is interesting because it is involved in reactions of relevance for several nucleosynthesis scenarios. Purpose: The aim of this work is to analyze various reactions involving C15, using a single structure model based on halo effective field theory (halo EFT) following the excellent results obtained in [P. Capel et al., Phys. Rev. C 98, 034610 (2018)2469-998510.1103/PhysRevC.98.034610]. Method: To develop a halo-EFT model of C15 at next to leading order (NLO), we first extract the asymptotic normalization coefficient (ANC) of its ground state by analyzing C14(d,p)C15 transfer data at low energy using the method developed in [J. Yang and P. Capel, Phys. Rev. C 98, 054602 (2018)2469-998510.1103/PhysRevC.98.054602]. Using the halo-EFT description of C15 constrained with this ANC, we study the C15 Coulomb breakup at high (605 MeV/nucleon) and intermediate (68 MeV/nucleon) energies using eikonal-based models with a consistent treatment of nuclear and Coulomb interactions at all orders, and which take into account proper relativistic corrections. Finally, we study the C14(n,γ)C15 radiative capture. Results: Our theoretical cross sections are in good agreement with experimental data for all reactions, thereby assessing the robustness of the halo-EFT model of this nucleus. Since a simple NLO description is enough to reproduce all data, the only nuclear-structure observables that matter are the C15 binding energy and its ANC, showing that all the reactions considered are purely peripheral. In particular, it confirms the value we have obtained for the ANC of the C15 ground state: C1/2+2=1.59±0.06fm-1. Our model of C15 provides also a new estimate of the radiative-capture cross section at astrophysical energy: σn,γ(23.3keV)=4.66±0.14μb. Conclusions: Including a halo-EFT description of C15 within precise models of reactions is confirmed to be an excellent way to relate the reaction cross sections and the structure of the nucleus. Its systematic expansion enables us to establish how the reaction process is affected by that structure and deduce which nuclear-structure observables are actually probed in the collision. From this, we can infer valuable information on both the structure of C15 and its synthesis through the C14(n,γ)C15 radiative capture at astrophysical energies.