Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics

Abstract

Lattice quantum chromodynamics is used to constrain the interactions of two octet baryons at the SU(3) flavor-symmetric point, with quark masses that are heavier than those in nature (equal to that of the physical strange quark mass and corresponding to a pion mass of $\approx 806\mathtt{MeV}$). Specifically, the S-wave scattering phase shifts of two-baryon systems at low energies are obtained with the application of Lüscher's formalism, mapping the energy eigenvalues of two interacting baryons in a finite volume to the two-particle scattering amplitudes below the relevant inelastic thresholds. The values of the leading-order low-energy scattering parameters in the irreducible representations of SU(3) are consistent with an approximate SU(6) spin-flavor symmetry in the nuclear and hypernuclear forces that is predicted in the large-$N_c$ limit of QCD. The two distinct SU(6)-invariant interactions between two baryons are constrained at this value of the quark masses, and their values indicate an approximate accidental SU(16) symmetry. The SU(3) irreducible representations containing the $NN({}^1{S}_0)$, $NN({}^3{S}_1)$ and $\frac{1}{\sqrt{2}}({\Xi }^{0}n+{\Xi }^{-}p)({}^3{S}_1)$ channels unambiguously exhibit a single bound state, while the irreducible representation containing the ${\Sigma }^{+}p({}^3{S}_1)$ channel exhibits a state that is consistent with either a bound state or a scattering state close to threshold. These results are in agreement with the previous conclusions of the NPLQCD collaboration regarding the existence of two-nucleon bound states at this value of the quark masses.

49 pages, 21 figures, 14 tables. v2: Minor wording improvements and updated references

References in corpus (16)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• Nuclear Physics from Lattice QCD
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Hyperon-nucleon force from lattice QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• BB Potentials in Quenched Lattice QCD
• Quark mass variation constraints from Big Bang nucleosynthesis
• Signal/noise enhancement strategies for stochastically estimated correlation functions

Cited by in corpus (26)

• FLAG Review 2021
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• FLAG Review 2024
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• QCD on a small circle
• A variational study of two-nucleon systems with lattice QCD
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Importance sampling for stochastic quantum simulations
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Lattice QCD and Baryon-Baryon Interactions
• Di-nucleons do not form bound states at heavy pion mass
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• A Closer Look in the Mirror: Reflections on the Matter/Dark Matter Coincidence