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

References in corpus (14)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Chiral effective field theory and nuclear forces
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• In-medium nuclear interactions of low-energy hadrons
• Evidence for a Bound H-dibaryon from Lattice QCD
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Do $\Xi \Xi$ bound states exist?
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering

Cited by in corpus (25)

• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Femtoscopic study of coupled-channel $N\Xi$ and $\Lambda \Lambda$ interactions
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• 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
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
• Do we know how to count powers in pionless and pionful effective field theory?
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field 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
• A Deeply Bound Dibaryon is Incompatible with Neutron Stars and Supernovae
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• 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
• Double-strangeness production in $\Lambda p\to K^{+}X$ reaction
• $\Lambda \Lambda N$-$\Xi NN$ $S$ wave resonance
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• Theoretical study of the $\Xi \alpha$ correlation function