Studies of the decays D-0 -> (KSK-)-K-0 pi(+) and D-0 -> (KSK+)-K-0 pi(-)

The first measurements of the coherence factor R-KS pi(0) and the average strong-phase difference delta(K0K pi)(DS) in D-0 -> (KSK -/+)-K-0 pi(+/-) decays are reported. These parameters can be used to improve the determination of the unitary triangle angle gamma in B- -> (D) over tildeK(-) decays, where (D) over tilde is either a D-0 or a (D) over bar (0) meson decaying to the same final state, and also in studies of charm mixing. The measurements of the coherence factor and strong-phase difference are made using quantum-correlated, fully reconstructed D-0(D) over bar (0) pairs produced in e(+)e(-) collisions at the psi (3770) resonance. The measured values are R-KAK pi(0) = 0.73 +/- 0: 08 and delta(DSKK)-K-0 pi = (8.3 +/- 15.2)degrees for an unrestricted kinematic region and R-K*K = 1.00 +/- 0.16 and delta(K*K)(D) = (26.5 +/- 15.8)degrees for a region where the combined K-S(0) pi(-/+) invariant mass is within 100 MeV/c(2) of the K*(892)(-/+) mass. These results indicate a significant level of coherence in the decay. In addition, isobar models are presented for the two decays, which show the dominance of the K*(892)(+/-) resonance. The branching ratio B(D-0 -> (KSK+)-K-0)/B(D-0 -> K-S(0) K- pi(+)) is determined to be 0.592 +/- 0.044(stat) +/- 0.018(syst) which is more precise than previous measurements.