Nuclear radii calculations in various theoretical approaches for nucleus-nucleus interactions

Abstract

The information about sizes and nuclear density distributions in unstable (radioactive) nuclei is usually extracted from the data on interaction of radioactive nuclear beams with a nuclear target. We show that in the case of nucleus-nucleus collisions the values of the parameters depend somewhat strongly on the considered theoretical approach and on the assumption about the parametrization of the nuclear density distribution. The obtained values of root-mean-square radii (${R}_{\mathrm{rms}}$) for stable nuclei with atomic weights $A=12--40$ vary by approximately 0.1 fm when calculated in the optical approximation, in the rigid target approximation, and using the exact expression of the Glauber theory. We present several examples of ${R}_{\mathrm{rms}}$ radii calculations using these three theoretical approaches and compare these results with the data obtained from electron-nucleus scattering.