Derivation of Correction
Terms to the
Eikonal Expansions in the Abrasion-Ablation Model for High
Energy Heavy Ion
Collisions, S. Bhatt, University
of
Tennessee, USA − The analytical abrasion-ablation model is
widely used for
the quantitative predictions of the neutron and light ion spectra
from high
energy collisions. The
abrasion stage of
the current model is based on the Glauber’s multiple scattering
theory and
applies the small angle approximation which assumes the
longitudinal momentum
transfer for the scattering amplitude to be small. However, for reactions
with three or more
particles in final state the validity of Glauber’s model are not
clear. In this work
we have extended the current
abrasion model to include higher order terms to the first order
eikonal scattering
using perturbation approach. The
perturbation
approach uses expansion of Fourier Bessel series in the scattering
amplitude in terms of Legendre polynomials, thus creating an
infinite series. This
expansion eliminates the small angle
approximation used in the Glauber-type eikonal approximation and
hence extends
it to larger angles and low energy regions.A comparison of
this model with
two and four correction terms respectively is done with the
currently existing
model for the derivations of angular distributions and double
differential
cross-sections for various projectile target data sets.