Computer calculations of finite Hubbard chains indicate two peaks for the specific heat for a large Coulomb interaction
U for band fillings less than 1/2. Even though the origin of this is physically obvious, no elementary excitations with a gap energy
U have been explicitly demonstrated from the exact solution of the Hubbard model. We here demonstrate that there exists elementary excitation with a complex wave vector
k for the $N\ensuremath{-}1$ spin-up case. These excitations with complex wave vectors have never been discussed previously. These results suggest similar excitations for the case with more general spin arrangements and may account for the specific-heat results.