Influence of the rearrangement contribution of single-particle potential to the nucleus-nucleus interaction and its impact on fusion cross section

We investigate the impact of the single-particle (SP) rearrangement correction of the nucleon optical potential on the interaction potential between two fusing nuclei and on their fusion cross-section. The nucleus-nucleus potential is calculated using the double-folding model based on effective CDM3Y-Reid and Paris nucleon-nucleon (NN) interaction with an isovector density dependence that is parameterized taking into accounts the rearrangement correction to the single-particle potential. It is also calculated using the energy-density formalism based on Skyrme nucleon-nucleon interaction with parameters are obtained with included rearrangement contribution. We found that the influence of the rearrangement contribution on the nucleus-nucleus potential depends on both the relative strength of the attractive part of the considered NN potential and the isospin-asymmetry of the interacting system. The rearrangement correction decreases the indicated neutron radius and neutron-skin thickness of neutron-rich nuclei. The isospin-asymmetry value at which the rearrangement contribution shifts up the indicated Coulomb barrier, hindering the fusion cross-section, decreases with decreasing the negativity of attractive part of the NN potential, the strengths of its density dependence and spin–orbit terms, as well as it related symmetry-energy coefficients.