# High-K isomer and the rotational properties in the odd-Z neutron-rich nucleus ${{}^{\bf{163}} {\bf {Eu}}}$

• The newly observed isomer and ground-state band in the odd-Z neutron-rich rare-earth nucleus 163Eu are investigated by using the cranked shell model (CSM), with pairing treated by the particle-number conserving (PNC) method. This is the first time detailed theoretical investigations are performed of the observed 964(1) keV isomer and ground-state rotational band in 163Eu. The experimental data are reproduced very well by the theoretical results. The configuration of the 964(1) keV isomer is assigned as the three-particle state $\displaystyle\frac{13}{2}^{-}\left(\nu\displaystyle\frac{7}{2}^{+}[633]\otimes\nu\displaystyle\frac{1}{2}^{-}[521]\otimes\pi\displaystyle\frac{5}{2}^{+}[413]\right)$. More low-lying multi-particle states are predicted in 163Eu. Due to its significant effect on the nuclear mean field, the high-order $\varepsilon_{6}$ deformation plays an important role in the energy and configuration assignment of the multi-particle states. Compared to its neighboring even-even nuclei 162Sm and 164Gd, there is a 10%~15% increase of $J^{(1)}$ of the one-particle ground-state band in 163Eu. This is explained by the pairing reduction due to the blocking of the nucleon on the proton $\pi\displaystyle\frac{5}{2}^{+}$[413] orbital in 163Eu.
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Xiao-Tao He and Ze-Long Chen. High-K isomer and the rotational properties in the odd-Z neutron-rich nucleus ${{}^{\bf{163}} {\bf {Eu}}}$[J]. Chinese Physics C, 2019, 43(6): 064106. doi: 10.1088/1674-1137/43/6/064106
Xiao-Tao He and Ze-Long Chen. High-K isomer and the rotational properties in the odd-Z neutron-rich nucleus ${{}^{\bf{163}} {\bf {Eu}}}$[J]. Chinese Physics C, 2019, 43(6): 064106.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## High-K isomer and the rotational properties in the odd-Z neutron-rich nucleus ${{}^{\bf{163}} {\bf {Eu}}}$

• College of Material Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Abstract: The newly observed isomer and ground-state band in the odd-Z neutron-rich rare-earth nucleus 163Eu are investigated by using the cranked shell model (CSM), with pairing treated by the particle-number conserving (PNC) method. This is the first time detailed theoretical investigations are performed of the observed 964(1) keV isomer and ground-state rotational band in 163Eu. The experimental data are reproduced very well by the theoretical results. The configuration of the 964(1) keV isomer is assigned as the three-particle state $\displaystyle\frac{13}{2}^{-}\left(\nu\displaystyle\frac{7}{2}^{+}[633]\otimes\nu\displaystyle\frac{1}{2}^{-}[521]\otimes\pi\displaystyle\frac{5}{2}^{+}[413]\right)$. More low-lying multi-particle states are predicted in 163Eu. Due to its significant effect on the nuclear mean field, the high-order $\varepsilon_{6}$ deformation plays an important role in the energy and configuration assignment of the multi-particle states. Compared to its neighboring even-even nuclei 162Sm and 164Gd, there is a 10%~15% increase of $J^{(1)}$ of the one-particle ground-state band in 163Eu. This is explained by the pairing reduction due to the blocking of the nucleon on the proton $\pi\displaystyle\frac{5}{2}^{+}$[413] orbital in 163Eu.

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