  In order to study non-zero spin excitations of the recently proposed
alpha-cluster condensation in the self-conjugate 4n nuclei, spatial deformation
is introduced into the model wave function of the alpha-cluster condensate. The
rotational band states of 8Be are investigated as a first step of a test case
for the study of the deformation of the alpha-cluster condensate. Calculations
reproduce well the binding energy of the 0+ ground state and also the
excitation energy of the 2+ state. Our 0+ wave function is found to be almost
exactly equal to the 0+ wave function obtained by the generator coordinate
method using Brink's 2 alpha wave function. The study shows that both the 0+
ground and 2+ excited states can be considered as having a gas-like (i.e.
weakly bound) 2 alpha-cluster structure. As for the 0+ ground state, the change
of the wave function, due to the introduction of the deformation, is found to
be very small.
