Extending the Eikonal Approximation to Low Energy

TL;DR

This paper compares eikonal-based reaction models to CDCC at low energies, identifying their limitations and proposing a hybrid approach that accurately reproduces CDCC results, including Coulomb deflection effects.

Contribution

It introduces a hybrid model combining CDCC and eikonal approximations to accurately simulate low-energy nuclear reactions.

Findings

E-CDCC and DEA lack Coulomb deflection at low energy.

A hybrid model achieves perfect agreement with CDCC.

Empirical impact parameter shift effectively simulates Coulomb deflection.

Abstract

E-CDCC and DEA, two eikonal-based reaction models are compared to CDCC at low energy (e.g. 20AMeV) to study their behaviour in the regime at which the eikonal approximation is supposed to fail. We confirm that these models lack the Coulomb deflection of the projectile by the target. We show that a hybrid model, built on the CDCC framework at low angular momenta and the eikonal approximation at larger angular momenta gives a perfect agreement with CDCC. An empirical shift in impact parameter can also be used reliably to simulate this missing Coulomb deflection.