Abstract
The $^{12}\mathrm{C}$($^{12}\mathrm{C}$,$^{14}\mathrm{O}$) two-proton pick-up reaction has been measured at 211.4 MeV incident energy to study the structure of states of $^{10}\mathrm{Be}$ up to excitation energies of 12 MeV. The measured partial angular distributions show pronounced oscillatory shapes, which were described by coupled-reaction-channels calculations. Spin-parity assignments could be derived from these characteristic shapes and two definite assignments have been made. The state at 11.8 MeV has been identified as the 4${}^{+}$ member of the ground-state band, and the state at 10.55 MeV is assigned ${J}^{\ensuremath{\pi}}={3}^{\ensuremath{-}}$. At 5.96 MeV only the ${1}_{1}^{\ensuremath{-}}$ member of the known ${2}_{2}^{+}/{1}_{1}^{\ensuremath{-}}$ doublet is populated. The angular distribution of the peak at 9.50 MeV, which consists of several unresolved states, has been unfolded using contributions from known states at 9.56 MeV, ${2}^{+}$, and 9.27 MeV, ${4}^{\ensuremath{-}}$. The inclusion of a state at 9.4 MeV reported by Daito et al. from the $^{10}\mathrm{B}$($t,^{3}\mathrm{He}$)$^{10}\mathrm{Be}$ reaction and tentatively assigned (${3}^{+}$) improved the fit considerably. A K$=2$ band is formed with the ${2}_{2}^{+}$ state as the band head and the (${3}^{+}$) state as the second member. The structures of the ${K}^{\ensuremath{\pi}}={0}^{+}{}_{1},2{}^{+}{}_{2}$, and ${1}_{1}^{\ensuremath{-}}$ bands are discussed.
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