Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory

Abstract

The strangeness $S=-2$ baryon-baryon interaction is studied in chiral effective field theory up to next-to-leading order. The potential at this order consists of contributions from one- and two-pseudoscalar-meson exchange diagrams and from four-baryon contact terms without and with two derivatives. SU(3) flavor symmetry is imposed for constructing the interaction in the $S=-2$ sector. Specifically, the couplings of the pseudoscalar mesons to the baryons are fixed by SU(3) symmetry and, in general, also the contact terms are related via SU(3) symmetry to those determined in a previous study of the $S=-1$ hyperon-nucleon interaction. The explicit SU(3) symmetry breaking due to the physical masses of the pseudoscalar mesons ($\pi$, $K$, $\eta$) is taken into account. It is argued that the $\Xi N$ interaction has to be relatively weak to be in accordance with available experimental constraints. In particular, the published values and upper bounds for the ${\Xi }^{-}p$ elastic and inelastic cross sections apparently rule out a somewhat stronger attractive $\Xi N$ force and, specifically, disfavor any near-threshold deuteron-like bound states in that system.

17 pages, 7 figures

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• The onset of $\Lambda \Lambda$ hypernuclear binding
• First study of reaction ${\Xi }^{0}n\to {\Xi }^{-}p$ using ${\Xi }^0$-nucleus scattering at an electron-positron collider
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
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• $\Xi$ hyperons in the nuclear medium described by chiral NLO interactions
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• First measurement of $\Lambda N$ inelastic scattering with $\Lambda$ from $e^{+}{e}^{-}\to J/\psi \to \Lambda \bar{\Lambda }$
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• Large-$N_c$ operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
• Foundations of Strangeness Nuclear Physics derived from chiral Effective Field Theory
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Medium effects in antikaon-induced ${\Xi }^{-}$ hyperon production on nuclei near threshold
• Quark mass dependence of H-dibaryon
• Neutral baryonic systems with strangeness
• Momentum dependence of near-threshold photoproduction of ${\Xi }^{-}$ hyperons off nuclei and their properties in the nuclear medium
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• Theoretical study of the $\Xi \alpha$ correlation function
• Hyperon-nucleon Scattering In A Covariant Chiral Effective Field Theory Approach