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Using a data sample of e^+e^- collisions corresponding to an integrated luminosity of 7. 93 fb^-1 collected with the BESIII detector at the center-of-mass energy 3. 773~GeV, we perform the first amplitude analysis of the decay D^+ Kₒ^0 Kₒ^0 ^+. The absolute branching fraction of D^+ Kₒ^0Kₒ^0 ^+ is measured to be (2. 97 0. 09 ₒₓ₀ₓ. 0. 05 ₒₘₒₓ. ) 10^-3. The dominant intermediate process is D^+ Kₒ^0K^* (892) ^+, whose branching fraction is determined to be (8. 72 0. 28 ₒₓ₀ₓ. 0. 15 ₒₘₒₓ. ) 10^-3, including all the K^* (892) ^+ decays.
Collaboration et al. (Mon,) studied this question.
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