Faddeev calculations of low-energy <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math>-deuteron scattering and momentum correlation function

Faddeev calculations of low-energy $\mathrm{\ensuremath{\Lambda}}$-deuteron elastic scattering are performed up to ${E}_{cm}=20$ MeV crossing the deuteron threshold. The phase shifts of the $s$ wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=\ensuremath{-}1$ hyperon-nucleon interactions in chiral effective field theory NLO13 and NLO19 parametrized by the J"ulich-Bonn group. The effective range parameters, specifically the scattering length and effective range, are ascertained through the calculated phase shifts. The present study evaluates the momentum correlation functions of the $\mathrm{\ensuremath{\Lambda}}$-deuteron system using the $\mathrm{\ensuremath{\Lambda}}$-deuteron relative wave function, constructed from half-off-shell $t$ matrices. The results are then compared with those obtained using an approximate formula.