Folding model analysis of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ elastic scattering using the density-dependent LOCV averaged effective interaction

Abstract

The averaged effective two-body interaction (\textit{AEI}) which can be generated through the lowest order constrained variational (\textit{LOCV}) method for symmetric nuclear matter (\textit{SNM}) with the input \textit{Reid}68 nucleon-nucleon potential, is used as the effective nucleon-nucleon potential in the folding model to describe the heavy-ion (\textit{HI}) elastic scattering cross sections. The elastic scattering cross sections of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ systems are calculated in the above frameworks. The results are compared with the corresponding calculations coming from the fitting procedures with the input finite range \textit{DDM3Y1-Reid} potential and the available experimental data at different incident energies. It is shown that a reasonable description of the elastic ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ scattering data at the low and the medium energies can be obtained by using the above \textit{ LOCV AEI}, without any need to define a parameterize density dependent function in the effective nucleon-nucleon potential, which is formally considered in the typical \textit{DDM3Y1-Reid} interactions.

References in corpus (6)

• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Nuclear mean field and double-folding model of the nucleus-nucleus optical potential
• Folding model study of the isobaric analog excitation: isovector density dependence, Lane potential and nuclear symmetry energy
• Nuclear equation of state at high baryonic density and compact star constraints
• Isospin dependent properties of asymmetric nuclear matter
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering

Cited by in corpus (1)

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