Systematic application of the M3Y NN forces for describing the capture process in heavy-ion collisions involving deformed target nuclei

Abstract

We present results of a systematic study of the capture process through the barrier penetration model. The nucleus-nucleus interaction potential is calculated using the double-folding model (DFM) with the M3Y Paris NN forces. The nucleon densities entering the model are generated from the experimental three-parameter Fermi charge densities. The DFM has been extended to the case of deformed target nuclei. It is shown that the density-dependent M3Y NN forces with the finite range exchange part can be mimicked successfully by the zero-range density-independent forces. The latter option significantly reduces the required computer time. For the nucleon densities and target nuclei deformations we employ the values from the commonly used data bases. Thus, we do not vary any parameters to reach a better agreement with the data. The resulting cross-sections are compared with data for 20 reactions with the product of the charge numbers Z_P*Z_T ranging from 216 up to 2576. We discuss the opinion met in the literature that the M3Y NN forces provide a poorer description of the capture cross-sections in heavy-ion collisions in comparison to the NN forces coming from the relativistic mean-field approach. Our calculations show that the M3Y NN forces give an agreement with the data which is not perfect yet is not worse than the one resulting from the RMF NN forces.

References in corpus (6)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Fusion cross-section for Ni-based reactions within the relativistic mean field formalism
• Effects of $NN$ potentials on $p$ nuclides in the A$\sim$100-120 region
• Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches
• Folding model analysis of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ elastic scattering using the density-dependent LOCV averaged effective interaction
• Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: case of spherical colliding nuclei

Cited by in corpus (1)

• Sub-barrier heavy-ion fusion/capture: Accurate accounting for zero-point quadrupole shape oscillations with realistic nucleus-nucleus potential