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Search for the decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mi>γ</mml:mi></mml:math>
We present the results of a search for the radiative decay B0→J/ψγ in a data set containing 123.0×106 Υ(4S)→BB¯ decays, collected by the BABAR detector at the PEP-II asymmetric-energy e+e− storage ring at SLAC. We find no evidence for a signal and place an upper limit of B(B0→J/ψγ)<1.6×10−6 at 90% …