Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

Reaction and elastic differential cross sections are calculated for light nuclei in the framework of the Glauber theory. The optical phase-shift function is evaluated by Monte Carlo integration. This enables us to use the most accurate wave functions and calculate the phase-shift functions without approximation. Examples of proton-nucleus (e.g., ${p-}^6\mathrm{He},$ ${p-}^6\mathrm{Li})$ and nucleus-nucleus ${(\mathrm{e}.\mathrm{g}.,}^6\mathrm{He}{-}^{12}\mathrm{C})$ scatterings illustrate the effectiveness of the method. This approach gives us a possibility of a more stringent analysis of the high-energy reactions of halo nuclei.