It is shown that the recently observed ΔI=4 bifurcation seen in
superdeformed nuclear bands is also occurring in rotational bands of diatomic
molecules. In addition, signs of a ΔI=8 bifurcation, of the same order
of magnitude as the ΔI=4 one, are observed both in superdeformed
nuclear bands and rotational bands of diatomic molecules.Comment: LaTex twice, 10 pages and 5 PS figures provided upon demand by the
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