Analysis of diffractive $\mathrm{pd}\to \mathrm{Xd}$ and $\mathrm{pp}\to \mathrm{Xp}$ interactions and test of the finite-mass sum rule

Cross sections for the reaction $\mathrm{pp}\to \mathrm{Xp}$ in the diffraction dissociation region, extracted from the recently reported precise Fermilab data on $\mathrm{pd}\to \mathrm{Xd}$, are compared with results from Fermilab and CERN ISR. The ${M_X}^2$, $t$, and $s$ dependences are discussed and the first-moment finite-mass sum rule is tested.