Nuclear levels inLu176

The nuclear structure of ${}_{}{}^{176}{}_{}{}^{}\mathrm{Lu}$ has been studied with the ($t$,$\alpha$) reaction on an isotopically enriched target of ${}_{}{}^{177}{}_{}{}^{}\mathrm{Hf}$ using a 17 MeV triton beam and a quadrupole-triple-dipole-type spectrometer. These measurements were combined with published ($n$,$\gamma$), ($n$,$e^{-}$), and ($d$,$p$) data to construct a level scheme for ${}_{}{}^{176}{}_{}{}^{}\mathrm{Lu}$. The Nilsson model including Coriolis coupling calculations has been used to interpret the level structure. The previously known Nilsson configurations $\frac{7}{2^{+}}\mathrm{}\left[404\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$, $\frac{7}{2^{+}}\mathrm{}\left[404\right]-\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$, $\frac{7}{2^{+}}\mathrm{}\left[404\right]-\frac{9}{2^{+}}\mathrm{}\left[624\right]\mathrm{}$, and $\frac{9}{2^{-}}\mathrm{}\left[514\right]-\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ with bandhead energies 0, 240.56, 198.01, and 342.48 keV, respectively, have been populated in the ($t$,$\alpha$) reaction. Proposed new Nilsson configurations and bandhead energies are: $\frac{5}{2^{+}}\mathrm{}\left[402\right]-\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 390.21 keV, $\frac{9}{2^{-}}\mathrm{}\left[514\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 485.7 keV, $\frac{5}{2^{+}}\mathrm{}\left[402\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 563.89 keV, $\frac{1}{2^{+}}\mathrm{}\left[411\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 726.51 keV, $\frac{1}{2^{+}}\mathrm{}\left[411\right]-\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 838.36 keV, $\frac{7}{2^{-}}\mathrm{}\left[523\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 1273 keV, and $\frac{3}{2^{+}}\mathrm{}\left[411\right]+\frac{7}{2^{-}}\mathrm{}\left[514\right]\mathrm{}$ at 1390.67 keV. The five new values of the singlet-triplet splitting energies and one new $K=0\mathrm{}$ odd-even shift observed in this study are compared with theory.