Coulomb-corrected eikonal description of the breakup of halo nuclei

Abstract

The eikonal description of breakup reactions diverges because of the Coulomb interaction between the projectile and the target. This divergence is due to the adiabatic, or sudden, approximation usually made, which is incompatible with the infinite range of the Coulomb interaction. A correction for this divergence is analysed by comparison with the Dynamical Eikonal Approximation, which is derived without the adiabatic approximation. The correction consists in replacing the first-order term of the eikonal Coulomb phase by the first-order of the perturbation theory. This allows taking into account both nuclear and Coulomb interactions on the same footing within the computationally efficient eikonal model. Excellent results are found for the dissociation of 11 Be on lead at 69 MeV/nucleon. This Coulomb Corrected Eikonal approximation provides a competitive alternative to more elaborate reaction models for investigating breakup of three-body projectiles at intermediate and high energies.

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

“…A simple, practical way to avoid the divergence problem is to replace the Coulomb phase that leads to the divergence by a divergence-free perturbative term assuming the dominance of the E1 field. This idea called the Coulomb-corrected eikonal approximation works well and still makes it possible to employ the eikonal approximation [46][47][48]. However, it is only applicable to some special cases, for example, two-or three-body models for a halo nucleus [48][49][50], and it will not give us a convenient formula for a more general case because the knowledge of the photoabsorption cross section of each many-body final state is required.…”

Probing neutron-skin thickness with total reaction cross sections

“…Its effect may be taken into account by, e.g., the Coulomb corrected eikonal approximation [27][28][29]. Since Z involved in the present calculation is not very large, the Coulomb interaction between the projectile and target is ignored for the sake of simplicity.…”

Microscopic description ofLi7inLi7 + Pinilla1, Descouvemont2 2014Phys. Rev. C

“…This method relies on some simplifying assumptions at the high energy regime. Different versions and generalizations have been implemented [11,[17][18][19][20][21][22] since the original Glauber's publication [23]. In particular, the eikonal-CDCC method allows to study the influence of continuum states in reactions at high energies [20].…”