The superdeformed (SD) structure of 150Gd has been studied using the E
urogam gamma-ray spectrometer and three new SD bands have been discove
red. An interaction is observed between two of the SD bands caused by
the near degeneracy of two levels. This is the first observation of ac
cidental degeneracy between SD states. The interaction strength is det
ermined to be 11 keV and evidence for cross talk between the bands is
observed. The absolute energy difference between two SD states in the
second minimum has been accurately measured and the relative spins and
parities of the two bands have been fixed.