https://doi.org/10.1140/epja/s10050-024-01331-5
Regular Article - Theoretical Physics
Influence of saturation property of cold nuclear matter on the parameterization process of fusion barriers
1
Department of Physics, Sciences Faculty, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Iran
2
Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, P.O. Box 91775-1436, Mashhad, Iran
Received:
5
January
2024
Accepted:
6
May
2024
Published online:
24
May
2024
The influence of saturation property of cold nuclear matter on the parameterization process of fusion barriers are systematically studied using the double-folding procedure supplemented with the effect of Pauli repulsive interaction between two colliding nuclei. We obtain simple analytical expressions for calculating the fusion barrier position 
, height 
and curvature 
with and without the repulsion effects to evaluate the heavy-ion fusion cross sections. We have studied 90 heavy-ion fusion reactions with 
for charge product of the projectile and the target nuclei. The obtained results reveal that our parameterized formulae can reproduce the exact and experimental values of the fusion barrier characteristics with acceptable accuracy for the selected mass range. We calculate the theoretical values of the fusion cross sections using the parameterized values of , and . The comparison between the calculated and measured values of the fusion cross section at energies near and above the Coulomb barrier validates the quality of the presently obtained formulae. A discussion is also presented about the validity of the previous pocket formulae for fusion barriers in our selected mass range.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
