Measurement of the branching fractions for the exclusive decays of B-0 and B+ to (D)over-bar(()*()) D-(*K-)

We report the observation of 823+/-57 B-0 and 970+/-65 B+ decays to doubly charmed final states (D) over bar (()*D-)(()*K-), where (D) over bar (()*()) and D-(*()) are fully reconstructed and K is either a K+/- or a K-0. We use a sample of 82.3+/-0.9 million B (B) over bar events collected between 1999 and 2002 with the BABAR detector at the PEP-II storage ring at the Stanford Linear Accelerator Center. The 22 possible B decays to (D) over bar (()*D-)(()*K-) are reconstructed exclusively and the corresponding branching fractions or limits are determined. The branching fractions of the B-0 and of the B+ to (D) over bar (()*D-)(()*K-) are found to be B(B-0-->(D) over bar (()*D-)(()*K-))=[4.3+/-0.3(stat)+/-0.6(syst)]%, B(B+-->(D) over bar (()*D-)(()*K-))=[3.5+/-0.3(stat)+/-0.5(syst)]%. A search for decays to orbitally excited D-s states, B-->(D) over bar (()*D-)(sJ)+ (D-sJ(+)-->D-(*K-)0(+)), is also performed. No statistically significant contributions from D-s1(+)(2536)-->(DK+)-K-*0 and D-sJ(+)(2573)-->(DK+)-K-0 to the (D) over bar (()*D-)(()*K-)0(+) final state are found and we set 90% C.L. limits on their production rates.