Calculation of nuclear charge radii and skin thickness of some alpha and beta decaying nuclei using mathematica

The nuclear charge radius is one of the most fundamental properties of a nucleus and plays an important role in investigating the nuclear shell structure and interactions of nuclei. The charge distribution of the nucleus was obtained from electron scattering experiments. This charge distribution not only revealed the relationship between the RMS (The Root Mean Square) mean radius of the nucleus and the mass number, but also provided information about the size and shape of the nucleus. For many years, many different techniques have been used to determine nuclear charge radii, both theoretically and experimentally. In this thesis, a group of nuclei with beta and alpha decay modes will be selected the RMS values of the nuclear charge radii and shell thicknesses of these nuclei will be calculated with Mathematica and compared with the available experimental data.