Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory

Abstract

We study the strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory at leading order. Among the 15 relevant low energy constants, eight of them are determined by fitting to the state of the art lattice QCD data of the HAL QCD Collaboration (with $m_{\pi }=146$ MeV), and the rest are either taken from the study of the $S=-1$ hyperon-nucleon systems, assuming strict SU(3) flavor symmetry, or temporarily set equal to zero. Using the so-obtained low energy constants, we extrapolate the results to the physical point, and show that they are consistent with the available experimental scattering data. Furthermore, we demonstrate that the $\Lambda \Lambda$ and $\Xi N$ phase shifts near the $\Xi N$ threshold are very sensitive to the lattice QCD data fitted, to the pion mass, and to isospin symmetry breaking effects. As a result, any conclusion drawn from lattice QCD data at unphysical pion masses (even close to the physical point) should be taken with caution. Our results at the physical point, similar to the lattice QCD data, show that a resonance/quasi-bound state may appear in the $I=0$ $\Lambda \Lambda$/$\Xi N$ channel.

20 pages, 8 figures

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Cited by in corpus (26)

• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Femtoscopic study of coupled-channel $N\Xi$ and $\Lambda \Lambda$ interactions
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• In-medium properties of a $\Xi N$ interaction derived from chiral effective field theory
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Do we know how to count powers in pionless and pionful effective field theory?
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• Pion-mass dependence of the nucleon-nucleon interaction
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• ${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• A Deeply Bound Dibaryon is Incompatible with Neutron Stars and Supernovae
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• $\Lambda \Lambda N$-$\Xi NN$ $S$ wave resonance
• Double-strangeness production in $\Lambda p\to K^{+}X$ reaction
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• Theoretical study of the $\Xi \alpha$ correlation function