Nuclear Levels inLu177andLu175

One- and three-quasiparticle states have been investigated in ${}_{}{}^{175}{}_{}{}^{}\mathrm{Lu}$ and ${}_{}{}^{177}{}_{}{}^{}\mathrm{Lu}$ using ($d,p$), ($d,t$), and thermal ($n,\gamma$) reactions on isotope-separated tarets of ${}_{}{}^{176}{}_{}{}^{}\mathrm{Lu}$. The ($d,p$) and ($d,t$) studies utilized 12-MeV deuterons and a broad-range magnetic spectrograph; the ($n,\gamma$) studies used Ge(Li) and Si(Li) spectrometers. The ground-state one-quasiparticle band ${\frac{7}{2}}^{+}\mathrm{}\left[404\right]\mathrm{}$ through the ${\frac{17}{2}}^{+}$ member and four tentative three-quasiparticle bands are observed in ${}_{}{}^{175}{}_{}{}^{}\mathrm{Lu}$. Members of the following one-quasiparticle bands are observed in ${}_{}{}^{177}{}_{}{}^{}\mathrm{Lu}:{\frac{7}{2}}^{+}\mathrm{}\left[404\right]\mathrm{}$ ground state, ${\frac{9}{2}}^{-}\mathrm{}\left[514\right]\mathrm{}$, ${\frac{5}{2}}^{+}\mathrm{}\left[402\right]\mathrm{}$, and ${\mathrm{½}}^{+}$[411]; in addition the following three-quasiparticle bands are observed in ${}_{}{}^{177}{}_{}{}^{}\mathrm{Lu}:{\frac{23}{2}}^{-}[p404\mathrm{}\downarrow +n514\mathrm{}\downarrow +n624\mathrm{}\uparrow ]$, ${\frac{11}{2}}^{+}[p514\mathrm{}\uparrow +n624\mathrm{}\uparrow +n514\mathrm{}\downarrow ]$, ${\frac{13}{2}}^{+} \mathrm{and} {\frac{15}{2}}^{+}[p404\mathrm{}\downarrow +n514\mathrm{}\downarrow \pm n510\mathrm{}\uparrow ]$, $K+2\mathrm{}\gamma$ vibration built on the ${\frac{7}{2}}^{+}\mathrm{}\left[404\right]\mathrm{}$ ground state, tentatively