Prediction of Charge Radii of Medium and Heavy Spherical and Deformed Nuclei by Semi-Empirical Formalism

Abstract

Root-mean-square charge radii are related to the empirical formula ⟨r²⟩_ch^1⁄2=pA^1⁄3+q. From least squares fits to experimental charge radii of nearly spherical nuclei having mass numbers between 12 and 208, deformed rare earth nuclei with 152≤A≤160 and deformed heavy nuclei with 232≤A≤242, radial charge distributions are predicted for medium and heavy spherical, as well as heavy deformed nuclei.