Calculation of the real part of the optical model potential and the fusion cross-section of the 12C + 12C System

The real part of the optical model potential and the fusion cross - section of the system 12C + 12C are calculated in the framework of an energy density formalism adopting the two center shell model (TCSM). An adiabatic approximation based on TCSM is introduced . In this approximation it is assumed that the nucleons rearrangements at each separation point can be simulated in the densities by considering a variational oscillator parameter b, determined by minimizing the energy with respect to it. The spin density part of the interaction potential and its effect on the nuclear potential as well as the fusion cross - section is examined. The results are compared with experiment