Correlating double-difference of charge radii with quadrupole deformation and B(E2) in atomic nuclei

A good linear correlation is found between the double-difference of charge radius δR2p-2n(Z,N) with that of quadrupole deformation data in even-even nuclei. This results in a further improved charge radius relation that holds in a precision of about 5×10-3 fm. The new relation can be generalized to the reduced electric quadrupole transition probability B(E2) between the first 2+ state and the 0+ ground state, and the mean lifetime τ of the first 2+ state. Same correlations are also seen in global nuclear models such as Hartree-Fock-Bogoliubov (HFB-24) and relativistic mean field (RMF); however, they are not consistent with the experimental data.