Effect of deuteron breakup on the deuteron- Ξ correlation function

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-${\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ $(d\ensuremath{-}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}})$ correlation function ${C}_{d{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}}$ is investigated.Methods: The $d\ensuremath{-}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ scattering is described by a nucleon-nucleon-$\mathrm{\ensuremath{\Xi}}$ three-body reaction model. The continuum-discretized coupled-channels method, which is a fully quantum-mechanical and nonperturbative reaction model, is adopted.Results: ${C}_{d{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}}$ turns out to be sensitive to the strong interaction and enhanced by the deuteron breakup effect by 6%--8% for a $d\text{\ensuremath{-}}{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ 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 ${C}_{d{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}}$ is found to be appreciable but not very significant. Except for the enhancement by several percent, studies on ${C}_{d{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}}$ without the deuteron breakup effect can be justified.