The $\mathrm{Li}{(}^7\mathrm{Li},$ ${}^{10}{\overrightarrow{{\mathrm{Be}}^{*}}}^4\mathrm{He}{+}^6\mathrm{He})$ reactions have been studied at bombarding energies of 34 and 50.9 MeV. For ${}^{10}{\mathrm{Be}}^{*}$ production near 0°, decay angular correlations are used to determine the previously unknown spin values and more accurate excitation energies of $J=2\mathrm{}$ at $E_x=9.56\mathrm{}\hspace{0.5em}\mathrm{MeV}$ and $J=3\mathrm{}$ at $E_x=10.15\mathrm{}\hspace{0.5em}\mathrm{MeV}.$ New excited states are proposed at higher excitations. A triaxial rotor model calculation and other collective rotation proposals all require a $J=4\mathrm{}$ state in the vicinity of 9 to 11 MeV, which has not been found. Angular correlation methods more general than have been used in the recent past are discussed.

• Received 23 March 2001

DOI:https://doi.org/10.1103/PhysRevC.64.044604