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On the determination of $\Delta$m and $\Delta\Gamma$ in tagged D$^{0}$/$\overline{D}^{0}$ decays

On the determination of $\Delta$m and $\Delta\Gamma$ in tagged D$^{0}$/$\overline{D}^{0}$ decays

We consider the time dependence of the decays of tagged $D^0$ and $\bar{D}^0$ into CP-conjugate final states $f$ and $\bar{f}$, or into a CP eigenstate $F$. We expand each decay width as $\exp (- \Gamma t)$ times a series in $\Gamma t$, where $\Gamma$ is the average decay width of …