Excited states in the deformed nucleus $^{166}\mathrm{Er}$ have been studied with high-energy resolution in the ($p,t$) reaction, with the Munich Q3D spectrograph. 143 states have been observed up to 4 MeV excitation, and spin and parity has been proposed for about 100 states, based on a DWBA analysis of their angular distributions, out of which 11 are excited ${0}^{+}$ states, and 39 ${2}^{+}$ states. The excitation pattern of these states (especially the ${0}^{+}$ ones) in $^{166}\mathrm{Er}$ is compared to that in $^{168}\mathrm{Er}$. Calculations were carried out with the $spdf$-IBM model, which gives a reasonable agreement with the observed number of ${0}^{+}$ states in $^{166}\mathrm{Er}$ and their excitation in the ($p,t$) reaction. The $2n$-transfer intensity pattern for the ${0}^{+}$ states in the $^{166}\mathrm{Er}(t,p)^{168}\mathrm{Er}$ reaction is also reasonably predicted. However, the $spdf$-IBM calculations do not explain the differences between $^{166}\mathrm{Er}$ and $^{168}\mathrm{Er}$, in the ($p,t$) transfer distribution of the ${0}^{+}$ states. The understanding of these differences, which appear to be related to a structure change at the $N=98$ deformed subshell closure, remains as an important issue of future, more elaborated model calculations.
Read full abstract