Local variations of charge radii for nuclei with even $Z$ from 84 to 120

Abstract

In this work, the evolution of nuclear charge radii along even Z = 98 − 120 isotopes are systematically investigated by various approaches. The new parametrization sets based on liquid drop model (LDM) formulas are proposed by covering the shell closure effect at N = 126 and odd-even staggering (OES) in calibration procedure. In comparison with available database, highorder neutron-proton asymmetry may be indispensable in fitting protocol. The fitted formula within theoretical uncertainty below 0.02 fm is used to make extrapolative calculations. Results obtained by the deduced relationship associating to α-decay properties and the modified charge radius formula in relativistic mean field (RMF) model are also employed to make reinforce. The latter shows that the abrupt change of nuclear charge radii emerges apparently across N = 184 shell closure. In addition, the abrupt jumps at N = 146 and 200 are also disclosed remarkably due to the large deformation. These different methods give comparable predictions of nuclear charge radii for 286,288 Fl, 290,292 Lv and 288−310 120 isotopes.