23-27 January 2017
Bormio, Italy
Europe/Berlin timezone

Study of corrections to the eikonal approximation

23 Jan 2017, 17:15
Bormio, Italy

Bormio, Italy


Ms Chloë Hebborn (Université libre de Bruxelles)


For the last decades, multiple international facilities have developed Radioactive-Ion Beams (RIB) to measure reaction processes including exotic nuclei. These measurements coupled with an accurate theoretical model of the reaction enable us to infer information about the structure of these nuclei. The partial-wave expansion and the Continuum-Discretised Coupled Channel method (CDCC) provide a precise description of two- and three-body collisions respectively. Unfortunately, these methods have one main drawback: their computational cost. To cope with this issue, the eikonal approximation is a powerful tool as it reduces the computational time and still describes the quantum effects observed in reaction observables. Nevertheless, its range of validity is restricted to high energy and to forward scattering angles. In this work, we analyze the extension of the eikonal approximation to lower energies and larger angles through the implementation of two kinds of corrections. These aim to improve the treatment of the nuclear and Coulomb interactions within the eikonal model. The first correction is based on an expansion of the T-matrix [1] while the second relies on a semi-classical approach [2,3]. They permit to better account for the deflection of the projectile by the target, which is neglected in the standard eikonal model. The gain in accuracy of each correction is evaluated through the analyses of angular cross sections computed with the standard eikonal model, its corrections and either the partial-wave expansion (two-body collisions) or CDCC (three-body collisions). These analyses have been performed for tightly bound projectiles ($^{10}\mathrm{Be}$) and halo nuclei ($^{11}\mathrm{Be}$) from intermediate energies ($70$ MeV/nucleon) down to energies of interest of future RIB facilities such as HIE-ISOLDE and ReA12 at MSU ($10$ MeV/nucleon). [1] S. J. Wallace, Ann. Phys. 78, 190 (1972). [2] T. Fukui, K. Ogata, and P. Capel. Phys. Rev. C 90, 034617 (2014). [3] C. E. Aguiar, F. Zardi and A. Vitturi, Phys. Rev. C 56, 1511 (1997).

Primary author

Ms Chloë Hebborn (Université libre de Bruxelles)


Dr Pierre Capel (Université Libre de Bruxelles (ULB))

Presentation Materials