Abstract
In this work we derive analytically a real alpha + alpha potential using the JLM effective nucleonnucleon (NN) interaction. The aim is to obtain analytically self-energy dependent alpha + alpha effective interaction. We used two different overlapping local density approximations, (geometrical and arithmetic averages, respectively) in JLM parameterization. The derived real potentials in companion with phenomenological Wood-Saxon (WS) imaginary potential are tested in the analysis of the elastic scattering of alpha + alpha, over a wide range of energy and angular distribution. The analysis is performed in the framework of optical model for several sets of data measured at three different ranges of energies, 6.5-18, 40.8-47.3, and 100-280 MeV. The predictions of the calculated potentials are satisfactory in reproduction of experimental data. We conclude that both analyticaly derived potentials provide successful description of the experimental data.