Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited

Details Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited

2006-01-30

arxiv.org/abs/nucl-th/0601091v1

Phys.Rev. C73 (2006) 034316

Physics

Nuclear Physics

Nuclear Theory

17 pages, 2 figures, to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.73.034316

We provide accurate assessments of the consequences of violations of self-consistency in Hartree-Fock (HF) based random phase approximation (RPA) calculations of the centroid energy $E_{cen}$ of isoscalar and isovector giant resonances of multi-polarities $L=0-3$ in a wide range of nuclei. This is done by carrying out highly accurate HF-RPA calculations neglecting the particle-hole (ph) spin-orbit or Coulomb interaction in the RPA and comparing with the fully self-consistent HF-RPA results. We find that the shifts in the value of $E_{cen}$ due to self-consistency violation associated with the spin-orbit and Coulomb interactions are comparable or larger than the current experimental errors in $E_{cen}$.

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