Strangeness ${S=-3}$ and ${-4}$ baryon-baryon interactions in chiral effective field theory

TL;DR

This paper extends chiral effective field theory to study hyperon-hyperon interactions for strangeness levels S=-3 and S=-4, aiming to improve understanding with limited empirical data by analyzing potential constraints from collision experiments.

Contribution

It explores the extension of NLO chiral effective field theory to higher strangeness sectors, proposing how experimental correlation measurements can inform these interactions.

Findings

Potential constraints from heavy-ion collision data on hyperon interactions.

Extension of chiral EFT to S=-3 and S=-4 sectors at NLO.

Discussion on scarce empirical data and future experimental prospects.

Abstract

Studies of the baryon-baryon interaction involving hyperons within chiral effective field theory, so far performed up to next-to-leading order (NLO) in the chiral expansion, have shown that for the strangeness $S=-1$ ($\Lambda N$, $\Sigma N$) and $S=-2$ ($\Lambda \Lambda$, $\Xi N$) sectors a consistent and satisfactory description of the available scattering data and experimental constraints can be achieved based on the assumption of broken SU(3) flavor symmetry. We explore the possible extension of this approach at the NLO level to strangeness $S=-3$ and $S=-4$ baryon-baryon systems where empirical information is rather scarce. Specifically we address the question how measurements of two-body correlation functions in heavy-ion collisions and/or in high-energetic proton-proton collisions can help to constrain the interaction in channels like $\Xi\Lambda$ or $\Xi\Xi$.