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

• Published in: arXiv.org 2015-11
• Main Authors: Haidenbauer, J, Ulf-G Meißner, Petschauer, S
• Format: Article
• Language: English
• Subjects: Baryons; Broken symmetry; Couplings; Field theory; Flavor (particle physics); Mesons; Strangeness; Symmetry; Upper bounds
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1511.05859

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.