We re-examine the effort to constrain the time variability of the coupling
constants of the fundamental interactions by studying the anomalous isotopi
c abundance of Sm observed at the remnants of the natural reactors which we
re in operation at Oklo about 2 billion years ago, in terms of a possible d
eviation of the resonance energy from the value observed today. We rely on
new samples that were carefully collected to minimize natural contamination
and also on a careful temperature estimate of the reactors. We obtain the
upper bound (-0.2 +/- 0.8) X 10(-17) y(-1) on the fractional rate of change
of the electromagnetic as well as the strong interaction coupling constant
s. Our result basically agrees with and even suggests some improvement of t
he result due recently to Damour and Dyson. Strictly speaking, however, we
find another choice of the resonance energy shift indicating a non-zero tim
e variation of the constants. However, we find a rather strong but still te
ntative indication that this non-null range can be ruled out by including G
d data, for which it is essential to take the effect of contamination into
account. (C) 2000 Elsevier Science B.V, All rights reserved.