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We report on a search for the rare decay B0bar --> D*0 gamma, which in
the standard model is dominated by W-exchange. The analysis is based on
a data sample comprising 87.8 x 10^6 BBbar pairs collected with the
BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC. No
significant signal is observed, and an upper limit on the branching
fraction of 2.5 x 10^{-5} at the 90% confidence level is obtained.
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