Analysis of low-energy corrections to the eikonal approximation

Exotic nuclei are mostly studied through reactions. To extract valuable structure information from measured cross sections, a reliable reaction model is needed. At high-enough energy, the eikonal approximation provides an excellent description of the collision, while being numerically efficient. Unfortunately, its validity is limited to energies above $50A$MeV. Various facilities will soon deliver exotic beams at about $10A$MeV, e.g., ReA12 at FRIB. To help experimenters in the analysis of their data, we study various corrections to the eikonal approximation to low energies [1,2,3]. Some of them efficiently correct the description of the elastic scattering of one-body projectiles. When extended to two-body projectiles, these corrections are still able to improve the eikonal prediction [4]. They could therefore provide good alternatives to coupled-channel reaction models.\\ References:\\ {[1]} S. J. Wallace, Ann. Phys. 78, 190 (1973).\\ {[2]} C. E. Aguiar, F. Zardi, and A. Vitturi, Phys. Rev. C 56, 1511 (1997).\\ {[3]} J. M. Brooke, J. S. Al-Khalili, and J. A. Tostevin, Phys. Rev. C 59, 1560 (1999).\\ {[4]} C. Hebborn and P. Capel, Phys. Rev. C 96, 054607 (2017).