Elastic scattering between two cluster nuclei (A,B>~4) at medium and high energies

Abstract

In the framework of the Glauber multiple scattering theory, the complete expansion (which contains ${2}^{A\ifmmode\times\else\texttimes\fi{}B}\ensuremath{-}1$ terms) of the Glauber amplitude of elastic scattering between two nuclei A, $Bg~4$ is obtained. Using double Gaussian density consistent with the electron-scattering experiments, the differential cross section $(\mathrm{n}\mathrm{u}\mathrm{c}\mathrm{l}\mathrm{e}\mathrm{a}\mathrm{r}+\mathrm{C}\mathrm{o}\mathrm{u}\mathrm{l}\mathrm{o}\mathrm{m}\mathrm{b})$ is calculated and compared with the experimental data. It is shown that, in general, higher order terms give a substantial improvement in comparison with the previous optical limit results at relatively large scattering angles. The effect of invoking a phase-variation in the nucleon-nucleon (NN) amplitude is examined. We found that the presence of the phase variation improves our results, especially at the minima of the diffraction pattern.