  We investigate local three-body correlations for bosonic particles in three
and one dimensions as a function of the interaction strength. The three-body
correlation function g(3) is determined by measuring the three-body
recombination rate in an ultracold gas of Cs atoms. In three dimensions, we
measure the dependence of g(3) on the gas parameter in a BEC, finding good
agreement with the theoretical prediction accounting for beyond-mean-field
effects. In one dimension, we observe a reduction of g(3) by several orders of
magnitude upon increasing interactions from the weakly interacting BEC to the
strongly interacting Tonks-Girardeau regime, in good agreement with predictions
from the Lieb-Liniger model for all strengths of interaction.
