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.

arXiv comment49 pages, 21 figures, 14 tables. v2: Minor wording improvements and updated references

References in corpus (82)

• The Chroma Software System for Lattice QCD
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Soft-core hyperon-nucleon potentials
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Effective Field Theory for Short-Range Forces
• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Multiple-channel generalization of Lellouch-Luscher formula
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Nucleon-Nucleon Effective Field Theory Without Pions
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• 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
• Scattering phases for meson and baryon resonances on general moving-frame lattices
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
• Two Nucleons on a Lattice
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• The Juelich hyperon-nucleon model revisited
• Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
• Nuclear Physics from Lattice QCD
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD
• Evidence for a narrow resonance at 1530 MeV/c2 in the K0 p - system of the reaction pp --> Sigma+ K0 p from the COSY-TOF experiment
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Variation of Fundamental Couplings and Nuclear Forces
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Effective Field Theory for Lattice Nuclei
• Hyperon-nucleon force from lattice QCD
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Two Particle States in an Asymmetric Box and the Elastic Scattering Phases
• The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
• The Magnetic Structure of Light Nuclei from Lattice QCD
• Ab initio calculation of the $np\to d\gamma$ radiative capture process
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• Total Cross Section of the Reaction pp \to pK^+ΛClose to Threshold
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Comparison of Lambda and Sigma(0) Threshold Production in Proton-Proton Collisions
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Topological phases for bound states moving in a finite volume
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• High Statistics Analysis using Anisotropic Clover Lattices: (I) Single Hadron Correlation Functions
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Two-Nucleon Systems in a Finite Volume: (II) 3S1-3D1 Coupled Channels and the Deuteron
• Generalized Lüscher Formula in Multi-channel Baryon-Meson Scattering
• BB Potentials in Quenched Lattice QCD
• Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Quark mass variation constraints from Big Bang nucleosynthesis
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• The isotensor axial polarisability and lattice QCD input for nuclear double-$\beta$ decay phenomenology
• Two-Baryon Systems with Twisted Boundary Conditions
• How to extract the $\Lambda N$ scattering length from production reactions
• Energy dependence of the Lambda/Sigma0 production cross section ratio in proton proton interactions
• Correlated $\pi \pi$ and $K\bar{K}$ exchange in the baryon-baryon interaction
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Hyperon Masses in Nuclear Matter
• Volume Dependence of Bound States with Angular Momentum
• Hadron interactions in lattice QCD
• A new approach for Delta form factors
• Signal/noise enhancement strategies for stochastically estimated correlation functions
• $\Omega \Omega$ interaction from 2+1 flavor lattice QCD
• Unitary Limit of Two-Nucleon Interactions in Strong Magnetic Fields
• A recursive approach to determine correlation functions in multi-baryon systems
• On the Quark Mass Dependence of Two Nucleon Observables
• Electromagnetic characteristics of $A\le 3$ physical and lattice nuclei
• On the quark mass dependence of nucleon-nucleon S-wave scattering lengths

Cited by in corpus (58)

• FLAG Review 2019
• FLAG Review 2021
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Unveiling the strong interaction among hadrons at the LHC
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Towards grounding nuclear physics in QCD
• FLAG Review 2024
• Hadrons and Nuclei
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Lattice QCD and baryon-baryon interactions: HAL QCD method
• 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
• Systematics of the HAL QCD Potential at Low Energies in Lattice QCD
• Hyperons: the strange ingredients of the nuclear equation of state
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• Nuclear modification of scalar, axial and tensor charges from lattice QCD
• New Ideas in Constraining Nuclear Forces
• QCD on a small circle
• A variational study of two-nucleon systems with lattice QCD
• Solving relativistic three-body integral equations in the presence of bound states
• Charged multi-hadron systems in lattice QCD+QED
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Consistency between Lüscher's finite volume method and HAL QCD method for two-baryon systems in lattice QCD
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Hidden spin-isospin exchange symmetry
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems
• The axial charge of the triton from lattice QCD
• Impurity Lattice Monte Carlo for Hypernuclei
• Light Nuclei from Lattice QCD: Spectrum, Structure and Reactions
• Phase Unwrapping and One-Dimensional Sign Problems
• Importance sampling for stochastic quantum simulations
• Lattice QCD constraints on the parton distribution functions of ${}^3\text{He}$
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Small Bits of Cold Dense Matter
• 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
• Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• A Closer Look in the Mirror: Reflections on the Matter/Dark Matter Coincidence
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD