Investigation of the alpha cluster model and the density matrix expansion in ion-ion collision

This thesis deals with the investigation of the alpha cluster model (ACM) of brink and studies of the accuracy of the density matrix expansion (DME) approximation in deriving the real part of the ion-ion optical potential. the ACM is applied to calculate the inelastic 01+→21+ charge form factor for electron scattering by 12C to investigate the validity of this model for 12C nucleus. it is found that the experimental curve can be fitted over the entire range of the momentum transfer by a generator - coordinate state for the 21+ state that consist of a superposition of two triangular ACM states with two different cluster separations and the same oscillator parameter