We study low-lying excited states of He-4 clusters up to a cluster size of
40 atoms in a variational framework. The ansatz wave function combines two-
and three-body correlations, coming from a translationally invariant confi
guration interaction description, and Jastrow-type short-range correlation.
We have previously used this scheme to determine the ground-state energies
of He-4 and He-3 clusters. Here we present an extension of this ansatz wav
e function having a good quantum angular momentum L. The variational proced
ure is applied independently to the cases with L = 0,2,4, and upper bounds
for the corresponding energies are thus obtained. Moreover. centroid energi
es for L excitations are calculated through the use of sum rules. A compari
son with previous calculations is also made.