Combined analysis of the reactions $\mathrm{pp}\to pp,\pi d\to \pi d$, and $\pi d\to \mathrm{pp}$

Results are presented for a combined analysis of the reactions $\mathrm{pp}\to pp,\pi d\to \pi d$, and $\pi d\to \mathrm{pp}$ over the $\sqrt{s}$ interval from the pion threshold to approximately 2.4 GeV. These results for $\pi d\to \mathrm{pp}$ and $\pi d$ elastic scattering are superior to our previous analyses of these reactions. In particular, the overall phase in $\pi d\to \mathrm{pp}$ has now been determined. Comparisons are made with previous (separate and combined) analyses of this two-nucleon system.