RMF calculation and phenomenological formulas for the rms radii of light nuclei

Abstract

The RMF (Relativistic Mean Field) calculations are performed systematically for light isotopes ( A<40) with NL-SH parameter set. The calculated binding energies and root mean square (rms) radii of light nuclei are discussed. On the basis of the theoretical calculations and the experimental data, we have suggested a group of phenomenological formulas for the neutron, proton and matter rms radii for nuclei with A<40, including the drip-line nuclei. In these formulas, the effects of binding energies, isospin and separation energies are considered. These formulas not only agree to the experimental data for stable nuclei well, but also reproduce the abnormal large radii of nuclei near the drip-line that the previous empirical models fail to reproduce them.