Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD

Abstract

We present the first study of baryon-baryon interactions in the continuum limit of lattice QCD, finding unexpectedly large lattice artifacts. Specifically, we determine the binding energy of the $H$ dibaryon at a single quark-mass point. The calculation is performed at six values of the lattice spacing $a$, using O($a$)-improved Wilson fermions at the SU(3)-symmetric point with $m_{\pi }=m_K\approx 420$ MeV. Energy levels are extracted by applying a variational method to correlation matrices of bilocal two-baryon interpolating operators computed using the distillation technique. Our analysis employs Lüscher's finite-volume quantization condition to determine the scattering phase shifts from the spectrum and vice versa, both above and below the two-baryon threshold. We perform global fits to the lattice spectra using parametrizations of the phase shift, supplemented by terms describing discretization effects, then extrapolate the lattice spacing to zero. The phase shift and the binding energy determined from it are found to be strongly affected by lattice artifacts. Our estimate of the binding energy in the continuum limit of three-flavor QCD is $B_H^{{\text{SU(3)}}_{\mathrm{f}}}=4.56\pm 1.13_{\mathrm{stat}}\pm 0.63_{\mathrm{syst}}$ MeV.

arXiv comment8 pages, 5 figures, plus supplemental material (10 pages, 10 figures, 2 tables) and spectrum data file (HDF5 format). v2: new finer ensemble, revised analysis with more conservative uncertainties in the spectrum, more details in the supplemental material, and additional references

References in corpus (50)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Properties and uses of the Wilson flow in lattice QCD
• The Chroma Software System for Lattice QCD
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• Lattice QCD with open boundary conditions and twisted-mass reweighting
• Two-particle multichannel systems in a finite volume with arbitrary spin
• The strange quark mass and Lambda parameter of two flavor QCD
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Setting the scale for the CLS $2+1$ flavor ensembles
• Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• $\Lambda \Lambda$ and N$\Xi$ interactions from Lattice QCD near the physical point
• p-p, p-$\Lambda$ and $\Lambda$-$\Lambda$ correlations studied via femtoscopy in pp reactions at $\sqrt{s}$ = 7 TeV
• Study of the $\Lambda$-$\Lambda$ interaction with femtoscopy correlations in pp and p-Pb collisions at the LHC
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Improvement of N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Mass of the H-dibaryon
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• To bind or not to bind: The H-dibaryon in light of chiral effective field theory
• Search for an H-dibaryon with mass near 2m_Lambda in Y(1S) and Y(2S) decays
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• The H dibaryon on the lattice
• Dark Matter in the Standard Model?
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Lattice Study of the $H$ Dibaryon
• The Scalar Hexaquark $uuddss$: a Candidate to Dark Matter?
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering
• Search for a Stable Six-Quark State at BABAR
• Dibaryons cannot be the dark matter
• Search for H dibaryon on the lattice
• H-Dibaryon from Lattice QCD with Improved Anisotropic Actions
• Further Evidence for an unstable H-Dibaryon?
• A Deeply Bound Dibaryon is Incompatible with Neutron Stars and Supernovae
• Applicability of the two-particle quantization condition to partially-quenched theories

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