Authors
• Dalhatu, M.
• ,,Department of Physics BUK
• Adamu, I.D.,idadamu.phy@buk.edu.ng,Department of Physics BUK
• Koki, F.S.,fskoki.phy@buk.edu.ng,Department of Physics BUK
•
Abstract
Despite substantial researches in the elastic scattering reaction involving light-ion nuclei as
a projectile, the use of Phenomenological potentials as the component of the optical
potential in order to reproduce and investigate nuclear structure and reaction dynamics of
the experimental data of 3He nucleus poses considerable challenges. Although the
phenomenological potential reproduces experimental data to some extent, however, it faces
challenges of parameter ambiguity. This ambiguity emanates from the simultaneous
adjustment of multiple parameters such as potential depth, diffuseness and radius, such that
fitting to experimental data leads to non-unique solutions with indistinguishable result. These
limitations of the phenomenological potential have motivated researchers to search a more
robust interaction model capable of reproducing and explaining experimental data, leading
to the development and adoption of the microscopic potential which demonstrated a
promising reliability in this regard. These motivates the microscopic use of the double folding
potential for both the real and imaginary parts of the optical potential, enabling the
description of the experimental elastic scattering data most appropriately by reducing the
parameter ambiguity through the fixing of radial geometry, significant reduction of number of
parameters to the use of only renormalization factors and the potential are directly derived
from the nucleon-nucleon interaction. This work uses a full folding approach of the optical
potential to analyze the elastic scattering of 3He on 6Li, 9Be, 24Mg and 56Fe nuclei using the
DDB3Y nucleon-nucleon effective interaction to obtained the strength of the folded
potentials, the reaction cross-section and the total cross-section. The reaction and total
cross-section which measures the probability of all non-elastic channel and the overall
interaction probability between target and projectile nuclei were obtained for the elastic
scattering reaction of 3He on 6Li, 9Be, 24Mg and 56Fe were calculated to be
mb, =948.35 mb,
=1532.07 mb
regions; the forward angle (
,
=
=709.61 mb
and
respectively. The cross-sections are analyzed in three
30o), the intermediate angle (30o
and the backward
angle (
. At forward angle the scattering is dominated by long range is coulomb
interaction and a weak nuclear effect for all the interactions, at the intermediate angle,
oscillatory structure is observed which are due to interference between coulomb and nuclear
scattering, the oscillations emanated from partial wave interference and Fraunhofer
diffraction. At the backward angle, the scattering is dominated by absorption effects,
compound nucleus effects. The real potentials were observed to be predominantly attractive
at short distances, and as the distance increase the potential was observed to be less
attractive which shows that the nuclear force is short-ranged. It was observed that, there is a
weak absorption for light nuclei 6Li 9Be and a moderate absorption for medium nuclei and
also a strong absorption for heavier nuclei such as 56Fe primarily due to the increasing depth
of the imaginary potential associated with higher nuclear density and other reaction
channels available. The systematics of the cross-sections have demonstrated the efficacy of DDB3Y interaction based on the optical model approach in describing and providing
explanation of the 3He nucleus scattered from a light, medium and heavy nuclei where the
strength of the increases with increase in target mass. The work serves as a tool in
providing an alternative way of reducing the parameter ambiguity and a stepstone for future
theoretical researches.
Keywords
Optical potential
microscopic potential
phenomenological potential
DDB3Y effective interaction