Study of the Ds+ → a0(980) ρ and a0(980)ω decays

We study D-s(+) -> rho(0(+))a(0)(+(0)) , D-s(+) -> omega a(0)(+), and the resonant D-s(+) -> rho a(0), a(0) -> eta pi(KK) decays. In the final state interaction, where D-s(+) -> (eta(('))pi +, K+ (K) over bar (0)) are followedby the (eta(('))pi(+), K+(K) over bar (0)) to rho(0(+))a(0)(+(0)) rescatterings, we predict B(D-s(+) -> rho(0(+)) a(0)(+(0))) = (3.0 +/- 0.3 +/- 1.0)x10(-3). Due to the cancellation of the rescattering effects and the suppressed short-distance W annihilation contribution, we expect that B(D-s(+) -> omega a(0)(+)) similar or equal to B(D-s(+) -> pi (+)pi(0)) < 3.4 x 10(-4). In our calculation, B(D-s(+) -> rho(0)(a(0)(+) ->)eta pi(+)) = (1.6(-0.3)(+0.2) +/- 0.6) x 10(-3) agrees with the data, whereas B(D-s(+) -> rho(+) (a(0)(0) ->) K+ K-) is 10 times smaller than the observation, which requires a careful examination.