Measurement of the Cabibbo-Kobayashi-Maskawa angle gamma in B--/+->(DK -/+)-K-(*) decays with a Dalitz analysis of D -> K-S(0)pi(-)pi(+)

We report on a measurement of the Cabibbo-Kobayashi-Maskawa CP-violating phase gamma through a Dalitz analysis of neutral D decays to K(S)(0)pi(-)pi(+) in the processes B-/+-> (DK-/+)-K-(*), D-*-> D pi(0), D gamma. Using a sample of 227x10(6) BB pairs collected by the BABAR detector, we measure the amplitude ratios r(B)=0.12 +/- 0.08 +/- 0.03 +/- 0.04 and r(B)(*)=0.17 +/- 0.10 +/- 0.03 +/- 0.03, the relative strong phases delta(B)=(104 +/- 45(-21-24)(+17+16))degrees and delta(B)(*)=(-64 +/- 41(-12)(+14)+/- 15)degrees between the amplitudes A(B--> (DK-)-K-(*)0) and A(B--> (DK-)-K-(*)0), and gamma=(70 +/- 31(-10-11)(+12+14))degrees. The first error is statistical, the second is the experimental systematic uncertainty, and the third reflects the Dalitz model uncertainty. The results for the strong and weak phases have a twofold ambiguity.