Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory

Abstract

The strangeness $S=-3$ and $-4$ baryon-baryon interactions are investigated in the relativistic chiral effective field theory at leading order. First, the potentials are derived from the $S=-1$ sector assuming that the corresponding low-energy constants are related to each other via SU(3) flavor symmetry. The comparison with the state-of-the-art lattice QCD simulations, show, however, that SU(3) flavor symmetry breaking effects can not be neglected. In order to take into account these effects, we redetermine two sets of low-energy constants by fitting to the lattice QCD data in the $\Xi \Sigma$ and $\Xi \Xi$ channels respectively. The fitting results demonstrate that the lattice QCD $S$-waves phase shifts for both channels can be described rather well. Without any additional free low-energy constants, the predicted phase shifts for the ${}^3{D}_1$ channel and the mixing angle ${\epsilon }_1$ are also in qualitative agreement with the lattice QCD data for the $S=-3$ channel, while the results for the $S=-4$ channel remain to be checked by future lattice QCD simulations. With the so-obtained low-energy constants, the $S$-wave scattering lengths and effective ranges are calculated for these two channels at the physical point. Finally, in combination with the $S=0$ and $-2$ results obtained in our previous works, we study the evolution of the irreducible representation $27$ in the baryon-baryon interactions as a function of increasing strangeness. It is shown that the attraction decreases dramatically as strangeness increases from $S=0$ to $S=-2$, but then remains relatively stable until $S=-4$. The results indicate that the existence of bound states in the $\Xi \Sigma$ and $\Xi \Xi$ channels is rather unlikely.

arXiv comment9 pages, 4 figures

References in corpus (21)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The two-nucleon system at next-to-next-to-next-to-leading order
• Soft-core baryon-baryon potentials for the complete baryon octet
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• The Hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H: Challenges for Modern Hyperon-Nucleon Forces
• 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
• Leading order relativistic chiral nucleon-nucleon interaction
• Measurement of the Xi-p Scattering Cross Sections at Low Energy
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Dibaryons with Strangeness: their Weak Nonleptonic Decay using SU(3) Symmetry and how to find them in Relativistic Heavy-Ion Collisions
• Predictions for the strangeness S=-3 and -4 baryon-baryon interactions in chiral effective field theory
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Do $\Xi \Xi$ bound states exist?
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory
• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\Xi \Xi$ forces --

Cited by in corpus (8)

• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• 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
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• 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
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars