Giant Quadrupole Resonance in Deformed Nuclei

Abstract

With use of the ordinary quadrupole-quadrupole (Q-Q) interaction, a total splitting of the $K=0, 1, 2$ components in the giant quadrupole resonance (GQR) of about 6 MeV is predicted for deformed $^{154}\mathrm{Sm}$. A 0.8\ifmmode\pm\else\textpm\fi{}0.3-MeV broadening of the GQR is observed for $^{154}\mathrm{Sm}$ relative to spherical $^{144}\mathrm{Sm}$ with inelastic $\ensuremath{\alpha}$ scattering. A model requiring rigorous self-consistency is proposed which modifies the Q-Q interaction, reduces the predicted splitting to about 2 MeV, and removes inconsistencies in the strength of the interaction for $K=0$ and $K=2$ components in low-lying $\ensuremath{\beta}$ and $\ensuremath{\gamma}$ bands.