Abstract
We show that final state interactions (FSI) within a CPT invariant two-channel framework can enhance the charge-parity (CP) violation difference between D^{0}→π^{-}π^{+} and D^{0}→K^{-}K^{+} decays up to the current experimental value. This result relies upon (i)the dominant tree level diagram, (ii)the well-known experimental values for the D^{0}→π^{-}π^{+} and D^{0}→K^{-}K^{+} branching ratios, and (iii)the ππ→ππ and ππ→KK scattering data to extract the strong phase difference and inelasticity. Based on well-grounded theoretical properties, we find the sign and bulk value of the ΔA_{CP} and A_{CP}(D^{0}→π^{-}π^{+}) recently observed by the LHCb Collaboration.
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