Consistency and sum rule in relativistic nuclear many-body theory

A consistent treatment is extremely important in relativistic approaches. The authors emphasized the consistent approach in relativistic random phase approximation built on relativistic mean field ground states. The consistent treatment requires that the studies of the ground state and excited states of giant resonances are based on same effective Lagrangian, and on a same complete set of basis. It was found that the effect of the Dirac states could not be neglected, especially in the case of giant monopole resonance. A constrained relativistic mean field theory was adopted to obtain the energy inverse weighted sum rule of giant monopole resonance, which shows again the importance of the effect of Dirac states