$\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves

TL;DR

This study investigates hyperon-nucleon systems at threshold using chiral quark models, revealing a near-threshold quasibound state in the $ ext{Σ}NN$ system and constraining scattering lengths.

Contribution

It incorporates D-wave components in three-body hyperon-nucleon systems, providing refined constraints on scattering lengths and identifying a quasibound state in the $ ext{Σ}NN$ system.

Findings

$ ext{Σ}NN$ system has a quasibound state near threshold.

Constraints on $ ext{Λ}N$ scattering lengths derived from hypertriton binding energy.

D-wave effects significantly influence the three-body hyperon-nucleon interactions.

Abstract

Using the two-body interactions obtained from a chiral constituent quark model we study all $\Lambda NN$ and $\Sigma NN$ states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave components. We constrain further the limits for the $\Lambda N$ spin-triplet scattering length a_{1/2,1}. Using the hypertriton binding energy we find a narrow interval for the possible values of the $\Lambda N$ spin-singlet scattering length a_{1/2,0}. We found that the $\Sigma NN$ system has a quasibound state in the (I,J) = (1,1/2) channel very near threshold with a width of about 2.1 MeV.