Nuclear magnetic moments in covariant density functional theory

As one of the most important physics observable, nuclear magnetic moment gives rich information about the nuclear structure. This article reviews the theoretical progress in nuclear magnetic moments, and presents the descriptions within the covariant density functional theory for the magnetic moments of spherical and deformed odd A nuclei. For the spherical odd A nuclei, taking the magnetic moment of LS closed shell nucleus plus or minus one nucleon near 16 O and 40 Ca as examples, the time-odd fields effects are firstly discussed. Then, taking 207,209 Pb, 207 Tl and 209 Bi as examples, including the MEC and CP corrections, magnetic moments of j-j closed-shell nuclei plus or minus one nucleon have been studied. For deformed odd A nuclei, taking 33 Mg as example, its intrinsic magnetic moment has been studied with configuration-fixed deformation constrained RMF approach with time-odd fields. Finally, the description of nuclear magnetic moments within covariant density functional theory has been prospected.