Analysis of new experimental data on the ${}^{160}\mathrm{Dy}$ spectrum with the symplectic interacting vector boson model

Analysis of the recently obtained experimental data for a lot of collective states of ${}^{160}\mathrm{Dy}$ is presented. Classification of the low-lying states with positive parity $0^{+},2^{+},4^{+},6^{+}$ is performed. The energies of rotational high-spin states of the ground, $S,\gamma$ and two negative-parity bands are described in the framework of the interacting vector boson model. The energies of the bands are reproduced with high accuracy using only one set of model parameters for all bands. A more detailed investigation of the results is performed by calculation and comparison with experiment of the high-order odd-even staggering effects between states from different pairs of bands.

Figure 1

(Color online) Distribution of $0^{+}$ states energies by number of monopole bosons in ${}^{160}\mathrm{Dy}$ and ${}^{158}\mathrm{Gd}$.

Figure 2

(Color online) Distribution of $2^{+},4^{+}$, and $6^{+}$ states energies by number of bosons within IVBM $(k=N/4)$.

Figure 3

(Color online) Comparison of IVBM energies with experiment for the ground and S bands in ${}^{160}\mathrm{Dy}$.

Figure 4

(Color online) Comparison of IVBM energies with experiment for $\gamma$ band in ${}^{160}\mathrm{Dy}$.

Figure 5

(Color online) Comparison of IVBM energies with experiment for the octupole $K^{\pi }=1^{-}$ band in ${}^{160}\mathrm{Dy}$.

Figure 6

(Color online) Comparison of IVBM energies with experiment for the octupole $K^{\pi }=2^{-}$ band in ${}^{160}\mathrm{Dy}$.

Figure 7

(Color online) Comparison of theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for S and octupole $K^{\pi }=2^{-}$ bands of ${}^{160}\mathrm{Dy}$.

Figure 8

(Color online) Comparison of theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for S and $K^{\pi }=2^{+}\gamma$ bands of ${}^{160}\mathrm{Dy}$.

Figure 9

(Color online) Comparison of theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for S and octupole $K^{\pi }=1^{-}$ bands of ${}^{160}\mathrm{Dy}$.

Figure 10

(Color online) Comparison of theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for ground $K^{\pi }=0^{+}$ and $K^{\pi }=2^{+}\gamma$ bands of ${}^{160}\mathrm{Dy}$.

Figure 11

(Color online) Comparison of the theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for ground $K^{\pi }=0^{+}$ (in the case of our states’ ordering and the ordering in [4]) and octupole $K^{\pi }=1^{-}$ bands of ${}^{160}\mathrm{Dy}$.

Figure 12

(Color online) Comparison of theoretical and experimental staggering functions ${\Delta }^{5}E\left(L\right)$ for ground $K^{\pi }=0^{+}$ (in the case of our ordering and the ordering in [4]) and octupole $K^{\pi }=2^{-}$ bands of ${}^{160}\mathrm{Dy}$.