  In analogy with the Nilsson model, we calculate the splitting of spherical
single-particle levels in a deformed field, but for cluster potentials. We
study applications to alpha-cluster nuclei with two, three and four alpha
particles, in which the deformation corresponds to the relative distance
between the alpha particles. The splitting of the single-particle levels is
studied for the cases of a dumbbell, equilateral triangle and a regular
tetrahedron. The observed patterns may be used to gain insight into how the
single-particle levels evolve with deformation.
