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

Tapas Sil·S. Shlomo·B. K. Agrawal·P. -G. Reinhard
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Abstract

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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Tapas Sil, S. Shlomo, B. K. Agrawal, P. -G. Reinhard. 2006-01-30. Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited. https://doi.org/10.1103/physrevc.73.034316

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