The low-energy $\mathrm{\Xi }$-deuteron scattering is investigated through the solution of Faddeev equations, employing three sets of the currently available representation of the $\mathrm{\Xi }$-nucleon interactions. One of these is the chiral next-to-leading order interaction specified by the Jülich group, and the other two are based on the calculations by the HAL QCD method. The $s$-wave phase shifts in the $J=3/2$ and $J=1/2$ states are presented. Three-body wave functions in coordinate space are constructed from the Faddeev amplitudes in momentum space. These functions are used in the calculation of $\mathrm{\Xi }d$ momentum correlation functions. The effects of the deuteron breakup are significant in the $J=3/2$ channel. The differences in the magnitude of the calculated correlation function show the quantitative difference of the $\mathrm{\Xi }N$ interactions in the spin-isospin channels. The prospective experimental data on the $\mathrm{\Xi }d$ momentum correlation function could contribute to a better description of the $\mathrm{\Xi }N$ interactions.

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• Few-body systems
• Particle interactions
• A ≤ 5