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

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 (Λ𝑁, Σ𝑁) and 𝑆 = −2 (ΛΛ, Ξ𝑁) 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-particle correlation functions in heavy-ion collisions and/or in high-energetic proton-proton collisions can help to constrain the interaction in channels like ΞΛ or ΞΞ.

Exploration of In-Medium Hyperon-Nucleon Interactions

“…The calculated values are given in Table . 1 (right). The obtained results are in-line with the existing predictions as reported by other groups (Extended Soft Core (ESC) [4], Juelich [5], chiral effective field theory (χEFT) [6] models).…”

Status of the hyperon-nucleon interaction in chiral effective field theory

“…Clearly, the correlation functions, evaluated for the source radii R taken from the corresponding pp fits by ALICE [44] (1.43 fm for 5.02 TeV and 1.18 fm for 13 TeV), agree nicely with the measurements. For a more thorough discussion on the choice of R and of the other parameters that enter into the calculation, see [15,43]. [6].…”

“…In addition, the exploration of neutron-star properties with the strangeness S = −1 interaction indicate the potential to resolve the so-called hyperon puzzle [11], when combined with consistently derived ΛNN and ΣNN three-body forces [12,13]. Finally, the BB potentials have been successfully tested in the analysis of two-particle momentum correlation functions involving strange baryons [14][15][16].…”

“…4 selected results involving the ΞN interaction [6] are summarized. Specifically, predictions for the Ξ − p momentum correlation function are provided [15].…”

Extended-soft-core baryon-baryon model ESC16. IV. S=−3 and S=−4 hyperon-hyperon interactions

“…After the Nijmegen work [4], all BB channels have been studied also in the framework of the resonating-group method (RGM) using the SU(6) quark model [10]. Furthermore in the past years there have are also been studies of the S = −3 and −4 systems using BB interactions from lattice QCD (LQCD) [11,12], and recently also results for S = −3 and −4 have been given from BB interactions from chiral-effective-field theory [13].…”