Time-independent measurements of D⁰-D̅ ⁰ mixing and relative strong phases using quantum correlations

Due to the presence of quantum correlations in the C=-1 and C=+1 D⁰D̅ ⁰ pairs produced in the reactions e⁺e^-→D⁰D̅ ⁰(nπ⁰) and e⁺e^-→D⁰D̅ ⁰γ(nπ⁰), respectively, the time-integrated D⁰D̅ ⁰ decay rates are sensitive to interference between amplitudes for indistinguishable final states. The size of this interference is governed by the relevant amplitude ratios and can include contributions from D⁰-D̅ ⁰ mixing. We present a method for simultaneously measuring the magnitudes and phases of these amplitude ratios and searching for D⁰-D̅ ⁰ mixing. We make use of fully- and partially-reconstructed D⁰D̅ ⁰ pairs in both C eigenstates, and we estimate experimental sensitivities based on a plausible charm factory data set. Similar analyses can be applied to coherent K⁰K̅ ⁰, B⁰B̅ ⁰, or B_s⁰B̅ _s⁰ pairs.