Total Cross Sections for Nucleus–Nucleus Reactions within the Glauber–Sitenko Approach for Realistic Distributions of Nuclear Matter

摘要

The microscopic eikonal phase shifts for nucleus–nucleus collisions and total reaction cross sections are calculated by using the expression previously derived for the profile (thickness) of a realistic distribution of nucleons in the form of a symmetrized Fermi function. If, in addition, the density of the projectile nucleus is approximated by a Gaussian function and if a density profile of arbitrary form is taken for the target nucleus, the phase shift in question reduces to a one-dimensional integral. Questions are considered that are associated with the derivation of density parameters for "pointlike" nucleons in nuclei, with the possibility of approximating realistic densities by Gaussian functions in the region of the nuclear surface, with the dependence of the cross section on the range of nucleon–nucleon interaction and on the nuclear-medium density, and with the role of the distortion of the trajectory. Conclusions on the physics of the process are drawn, and the cross sections calculated on the basis of the present approach without using free parameters are compared with available experimental data.