Complete fusion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Be</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>with spherical targets

The complete fusion of $^{9}\mathrm{Be}$ with $^{144}\mathrm{Sm}$ and $^{208}\mathrm{Pb}$ targets is calculated in the coupled-channels approach. The calculations include couplings among the 3/${2}^{\ensuremath{-}}$, 5/${2}^{\ensuremath{-}}$, and 7/${2}^{\ensuremath{-}}$ states in the $K=3/2$ ground-state rotational band of $^{9}\mathrm{Be}$. It is shown that the $B(E2)$ values for the excitation of these states are accurately described in the rotor model. The interaction of the strongly deformed $^{9}\mathrm{Be}$ nucleus with a spherical target is calculated using the double-folding technique and the effective M3Y interaction, which is supplemented with a repulsive term that is adjusted to optimize the fit to the data for the $^{144}\mathrm{Sm}$ target. The complete fusion is described by ingoing-wave boundary conditions. The decay of the unbound excited states in $^{9}\mathrm{Be}$ is considered explicitly in the calculations by using complex excitation energies. The model gives an excellent account of the complete fusion (CF) data for $^{9}\mathrm{Be}+^{144}\mathrm{Sm}$, and the cross sections for the decay of the excited states are in surprisingly good agreement with the incomplete fusion (ICF) data. Similar calculations for $^{9}\mathrm{Be}+^{208}\mathrm{Pb}$ explain the total fusion data at high energies but fail to explain the CF data, which are suppressed by 20%, and the calculated cross section for the decay of excited states is a factor of 3 smaller than the ICF data at high energies. Possible reasons for these discrepancies are discussed.

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