Relativistic description of second-order correction to nuclear magnetic moments with point-coupling residual interaction

Using the single particle states and the residual interaction derived from the relativistic point-coupling model with the PC-F1 parameter set, the second-order core polarization corrections to nuclear magnetic moments of LS closed shell nuclei ±1 nucleon with A = 15, 17, 39 and 41 are studied and compared with previous non-relativistic results. It is found that the second-order corrections are significant. With these corrections, the isovector magnetic moments of the concerned nuclei are well reproduced, especially those for A = 17 and A = 41.