Diffraction Dissociation of High-Energy Protons on Hydrogen and Deuterium Targets

We report results from a measurement of the inclusive processes $\mathrm{pp}\to \mathrm{Xp}$ and $\mathrm{pd}\to \mathrm{Xd}$ in the range $5<\mathrm{}\frac{{M_x}^2}{s}<0.1\mathrm{}$, $0.01\lesssim \mathrm{}\left|t\right|\mathrm{}\lesssim 0.1$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$, and incident proton momenta of 65, 154, and 372 GeV/c. Both $\mathrm{pp}$ and $\mathrm{pd}$ data show an exponential $t$ dependence and a dominant $\frac{1}{{M_x}^2}$ behavior for $\frac{{M_x}^2}{s}\lesssim 0.05$. By comparing $\mathrm{pp}$ and $\mathrm{pd}$ data we test factorization and, using the Glauber model, we measure the $\mathrm{XN}$ total cross section, ${\sigma }_{\mathrm{XN}}=43\mathrm{}\pm 10$ mb.