Abstract

The nuclear medium is investigated by studying the 12C + 12C elastic scattering at the low energies in the framework of optical model (OM) potential. Both frozen and adiabatic density approximations are used for the description of the nuclear medium during the colliding process. In the OM calculation, the double folding procedure using the realistic CDM3Y3 effective nucleon-nucleon (NN) interactions and the wave functions of colliding nuclei is employed to describe the nucleus-nucleus potential at low energy region below 10 MeV per nucleon. The obtained results from the elastic scattering analyses show that the adiabatic density approximation is more reasonable than the frozen density approximation to describe the overlapping density (the so-called nuclear medium) for the 12C + 12C system at low energy region.

Highlights

  • The 12C + 12C reaction is an interesting topic that has attracted many researches in both the experimental and theoretical fields over four decades

  • In Fig. 1, we present the results of the overlapping densities with both frozen and adiabatic density approximations which are calculated by the formulae in Eqs. (13)–(15)

  • In the case of adiabatic density approximation (ADA), Rcut is chosen at which the reorganization of the central part of the compound nucleus into two central densities of the individual daughters starts to occur

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Summary

Introduction

The 12C + 12C reaction is an interesting topic that has attracted many researches in both the experimental and theoretical fields over four decades. There are many studies in the experimental field to measure the data over a wide range of energies [1,2,3,4,5,6,7], which are analysed theoretically by employing both the phenomenological and microscopic potentials [8,9,10,11]. The experimental data of angular distributions corresponding to the region of energies above 10 MeV per nucleon have been studied and explained unambiguously using the optical potential with the deep real part [8]. In the energy region below 10 MeV per nucleon, the experimental data have not been analysed clearly, especially at the backward angles and the solutions of the mean field encountered during the traversing of the projectile and the target still remain ambiguities. One can see the mean field behind the 12C + 12C reaction at low energy region is still a question that waits for the

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