  Starting with the sqrt{3} x sqrt{3} and the q=0 states as reference states we
use the coupled cluster method to high orders of approximation to investigate
the ground state of the Heisenberg antiferromagnet on the kagome lattice for
spin quantum numbers s=1/2,1,3/2,2,5/2, and 3. Our data for the ground-state
energy for s=1/2 are in good agreement with recent large-scale density-matrix
renormalization group and exact diagonalization data. We find that the
ground-state selection depends on the spin quantum number s. While for the
extreme quantum case, s=1/2, the q=0 state is energetically favored by quantum
fluctuations, for any s>1/2 the sqrt{3} x sqrt{3} state is selected. For both
the sqrt{3} x sqrt{3} and the q=0 states the magnetic order is strongly
suppressed by quantum fluctuations. Within our coupled cluster method we get
vanishing values for the order parameter (sublattice magnetization) M for s=1/2
and s=1, but (small) nonzero values for M for s>1. Using the data for the
ground-state energy and the order parameter for s=3/2,2,5/2, and 3 we also
estimate the leading quantum corrections to the classical values.
