Both the reaction and nucleon removal cross section are derived with or without considering the meson production , and the relevant expressions are given
2.
Since in the few - body glauber theory the core and valence nucleons of a halo nucleus are treated separately , the obtained expressions of the reaction cross section , the nucleon removal cross section and the momentum distribution are all involved in multidimensional integrations
3.
Therefore we could carry out numerical calculations and obtain the reaction cross section , the nucleon removal cross section and the momentum distribution in the scattering of a halo nucleus with any types of density distributions . we compare the reaction cross sections calculated in the few - body glauber theory and the optical - limit glauber theory