15 pages, 2 figures, contributed to Lepton-Photon 2005We report on searches for B- --> Ds- Phi and B- --> Ds*- Phi. In the context of the Standard Model, the branching fractions for these decays are expected to be highly suppressed, since they proceed through annhilation of the b and u-bar quarks in the B- meson. Our results are based on 234 million Upsilon(4S) --> B Bbar decays collected with the BaBar detector at SLAC. We find no evidence for these decays, and we set 90% confidence level upper limits on the branching fractions BF(B- --> Ds- Phi) < 1.8x10^(-6) BF(B- --> Ds*- Phi) < 1.1x10^(-5). These results are consistent with Standard Model expectations
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