Faddeev calculations of low-energy $\hat{I}›$-deuteron scattering and momentum correlation function

Abstract

Faddeev calculations of low-energy $\hat{I}›$-deuteron elastic scattering are performed up to $E_{cm}=20$ MeV across the deuteron threshold. Phase shifts of the $s$-wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$ hyperon-nucleon interactions in chiral effective field theory NLO13 and NLO19 parametrized by the J{ü}lich-Bonn group. Effective range parameters, such as a scattering length and an effective range, are determined through the calculated phase shifts. $\hat{I}›$-deuteron momentum correlation functions are evaluated using the $\hat{I}›$-deuteron relative wave function constructed from half-off-shell $t$-matrices. They are compared with those evaluated using an approximate formula.

10 pages, 7 figures