Comparison of the space-time extent of the emission source in $d$$+$Au and Au$+$Au collisions at $\sqrt{s_{NN}}=200$ GeV

Two-pion interferometry measurements in $d$$+$Au and Au$+$Au collisions at $\sqrt{s_{NN}}=200$ GeV are used to extract and compare the Gaussian source radii R${}_{\mathrm{o}\mathrm{u}\mathrm{t}}$, R${}_{\mathrm{s}\mathrm{i}\mathrm{d}\mathrm{e}}$, and R${}_{\mathrm{l}\mathrm{o}\mathrm{n}\mathrm{g}}$, which characterize the space-time extent of the emission sources. The comparisons, which are performed as a function of collision centrality and the mean transverse momentum for pion pairs, indicate strikingly similar patterns for the $d$$+$Au and Au$+$Au systems. They also indicate a linear dependence of R${}_{\mathrm{s}\mathrm{i}\mathrm{d}\mathrm{e}}$ on the initial transverse geometric size $\bar{R}$, as well as a smaller freeze-out size for the $d$$+$Au system. These patterns point to the important role of final-state rescattering effects in the reaction dynamics of $d$$+$Au collisions.