Faddeev calculations of low-energy $\Lambda$-deuteron scattering and momentum correlation function

TL;DR

This paper performs Faddeev calculations of low-energy Lambda-deuteron scattering, deriving phase shifts and effective range parameters, and evaluates momentum correlation functions to compare different computational approaches.

Contribution

It introduces detailed Faddeev calculations for Lambda-deuteron scattering using chiral EFT interactions and analyzes momentum correlations with new computational methods.

Findings

Phase shifts for s-wave channels are calculated up to 20 MeV.

Effective range parameters are extracted from phase shifts.

Momentum correlation functions are evaluated and compared with approximate formulas.

Abstract

Faddeev calculations of low-energy $\Lambda$-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{\"u}lich-Bonn group. Effective range parameters, such as a scattering length and an effective range, are determined through the calculated phase shifts. $\Lambda$-deuteron momentum correlation functions are evaluated using the $\Lambda$-deuteron relative wave function constructed from half-off-shell $t$-matrices. They are compared with those evaluated using an approximate formula.