Local Correlation and Log-scale N_pN_n Scheme of 2_1^+ Quadrupole Moments in Even-even Nuclei

The local correlation between the electric quadrupole moments of 2_1^+ states of adjacent nuclei can be obtained with the axially symmetric rotor model and anharmonic vibrator model. A partial differential equation corresponding to this local correlation requires that the nuclear electric moments should be linearly correlated with the logarithmic N_\rmpN_\rmn scheme. This linearity is similar to those of the excitation energy and reduced transition probability to ground states of 2_1^+ states in even-even nuclei. The experimental data confirm our understanding on the systematics of the nuclear electric moments. By utilizing local correlation, we can make predictions about quadrupole moments that have not yet been measured in experiment. Additionally, the logarithmic N_\rmpN_\rmn scheme's linearity can reduce experimental uncertainty of the Ba quadrupole moments.