Do $\Xi \Xi$ bound states exist?

Abstract

The existence of baryon-baryon bound states in the strangeness sector is examined in the framework of SU(3) chiral effective field theory. Specifically, the role of SU(3) symmetry breaking contact terms that arise at next-to-leading order in the employed Weinberg power counting scheme is explored. We focus on the 1S0 partial wave and on baryon-baryon channels with maximal isospin since in this case there are only two independent SU(3) symmetry breaking contact terms. At the same time, those are the channels where most of the bound states have been predicted in the past. Utilizing $pp$ phase shifts and ${\Sigma }^{+}p$ cross section data allows us to pin down one of the SU(3) symmetry breaking contact terms and a clear indication for the decrease of attraction when going from the NN system to strangeness S=-2 is found, which rules out a bound state for $\Sigma \Sigma$ with isospin I=2. Assuming that the trend observed for S=0 to S=-2 is not reversed when going to $\Xi \Sigma$ and $\Xi \Xi$ makes also bound states in those systems rather unlikely.

10 pages, 4 figures

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Cited by in corpus (28)

• Hyperon-nucleon interaction within chiral effective field theory revisited
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Coupled-channel effects in hadron-hadron correlation functions
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• In-medium properties of a $\Xi N$ interaction derived from chiral effective field theory
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\Xi \Xi$ forces --
• $\Omega \Omega$ interaction from 2+1 flavor lattice QCD
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Molecular charmed baryons and pentaquarks from light-meson exchange saturation
• Maximal isospin few-body systems of nucleons and $\Xi$ hyperons
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
• Exploring the ${\Sigma }^{+}p$ interaction by measurements of the correlation function
• Two-baryon systems from HAL QCD method and the mirage in the temporal correlation of the direct method
• Baryon interactions from lattice QCD with physical masses -- Overview and $S=0,-4$ sectors --
• Foundations of Strangeness Nuclear Physics derived from chiral Effective Field Theory
• Status of the hyperon-nucleon interaction in chiral effective field theory
• Towards Lattice QCD Baryon Forces at the Physical Point: First Results
• $D^{\ast }$ $\Xi N$ bound state in strange three-body systems
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Exploration of In-Medium Hyperon-Nucleon Interactions