Consistency and Sum Rule in Relativistic Nuclear Many-body Theory

Key words: 
• relativistic random phase approximation /
• negative energy states in Dirac sea /
• isoscalar giant monopole resonance

Abstract: A consistent treatment is extremely important in relativistic approaches. We emphasized the consistent approach in relativistic random phase approximation built on relativistic mean filed 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...