$\mathrm{\Lambda }$-deuteron momentum correlation functions incorporating deuteron breakup contributions in Faddeev formulation

The effects of the deuteron breakup are estimated for the $\mathrm{\Lambda }$-deuteron momentum correlation function. Faddeev amplitudes in calculating low-energy $\mathrm{\Lambda }$-deuteron scattering can provide not only the elastic scattering part but also breakup wave functions in the incident and the rearrangement channels. Calculations are carried out using nucleon-nucleon (NN) and hyperon-nucleon (YN) interactions parametrized in chiral effective field theory. The effects of the breakup in the incident channel are found to be marginally insignificant. Those of the rearrangement channel are not negligible, but not large when the source radius is larger than 2.5 fm. Nevertheless, it is worthwhile to have the information on the magnitude of these effects in analyzing the experimental data.