Fully Self-Consistency in Relativistic Random Phase Approximation
YANG Ding1,4, CAO Li-Gang2,3, MA Zhong-Yu3,4**
1School of Science, Communication University of China, Beijing 100024 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000 4China Institute of Atomic Energy, P. O. Box 275(18), Beijing 102413
Abstract：Fully self-consistent relativistic random phase approximation (RRPA) is built on the relativistic mean field ground state with a non-linear relativistic Lagrangian. The consistency requires that the same effective interaction is adopted to simultaneously describe both the ground states and the excited states of the nucleus. Reliable and accurate numerical results of the nuclear giant resonances obtained in the RRPA require fully consistent calculations. In some excitation modes they are extremely sensitive to consistent treatment, e.g., such as isoscalar giant monopole and dipole resonances (ISGMR and ISGDR). In this work we perform the numerical calculations in the case of ISGDR for 208Pb and check the consistency. The spurious state in the ISGDR vanishes once the full self-consistency is achieved.
2012, Vol. 29 
