Experiments using intermediate- to high-energy radioactive nuclear beams present numerous findings. Extracting important properties of physical observables relies on a firm theoretical analysis. Though Glauber theory is believed to work well, no convincing calculation has so far been done. We perform Glauber-theory calculations of both elastic differential cross sections and total reaction cross sections for $p+{}^{12}\mathrm{C}$, ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$, and ${}^6\mathrm{He}+{}^{12}\mathrm{C}$ systems. The wave functions of both ${}^6\mathrm{He}$ and ${}^{12}\mathrm{C}$ are generated by variational Monte Carlo calculations with spatial and spin-isospin correlations induced by realistic two- and three-nucleon potentials. Glauber’s phase-shift function is computed by Monte Carlo integration up to all orders of nucleon-nucleon multiple scatterings. We show an excellent performance of the Glauber description to the selected data on the above systems. We also find that the cumulant expansion of the phase-shift function converges rapidly up to the second order for the above systems. This finding will open up interesting applications for the analysis of high-energy nuclear experiments.

Close

PrevNext

View figure in article

• Nuclear reactions
• Nuclear many-body theory