Background: The hadron-deuteron correlation function has attracted much interest as a potential method to access three-hadron interactions. However, the weakly bound nature of deuterons has not been considered in the preceding studies. Purpose: The breakup effect of deuterons in the deuteron-Ξ- (d-Ξ-) correlation function CdΞ- is investigated. Methods: The d-Ξ- scattering is described by a nucleon-nucleon-Ξ three-body reaction model. The continuum-discretized coupled-channels method, which is a fully quantum-mechanical and nonperturbative reaction model, is adopted. Results: CdΞ- turns out to be sensitive to the strong interaction and enhanced by the deuteron breakup effect by 6%-8% for a d-Ξ- relative momentum below about 70 MeV/c. Low-lying neutron-neutron continuum states are responsible for this enhancement. Conclusions: Within the adopted model, the deuteron breakup effect on CdΞ- is found to be appreciable but not very significant. Except for the enhancement by several percent, studies on CdΞ- without the deuteron breakup effect can be justified.
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