Exploring Hyperons and Hypernuclei with Lattice QCD

Abstract

In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information regarding the structure and weak decays of light nuclei containing one or two Lambda's, and Sigma's. From a theoretical standpoint, little is known about the hyperon-nucleon interaction, which is required input for systematic calculations of hypernuclear structure. Furthermore, the long-standing discrepancies in the P-wave amplitudes for nonleptonic hyperon decays remain to be understood, and their resolution is central to a better understanding of the weak decays of hypernuclei. We present a framework that utilizes Luscher's finite-volume techniques in lattice QCD to extract the scattering length and effective range for Lambda-N scattering in both QCD and partially-quenched QCD. The effective theory describing the nonleptonic decays of hyperons using isospin symmetry alone, appropriate for lattice calculations, is constructed.

24 pages, 7 figures

References in corpus (13)

• Partially quenched chiral perturbation theory without ${\Phi }_0$
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• $K\to \pi \pi$ Decays in a Finite Volume
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• How to extract the $\Lambda N$ scattering length from production reactions
• The Hypertriton in Effective Field Theory
• Nucleon-Nucleon Interactions on the Lattice
• Hyperon-nucleon scattering and hyperon masses in the nuclear medium
• Hadronic Parity-Violation on the Lattice
• Partially-Quenched Nucleon-Nucleon Scattering
• The Lambda_Q-Lambda_Q Potential

Cited by in corpus (72)

• Modern Theory of Nuclear Forces
• Hadronic molecules
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• A method to measure the antikaon-nucleon scattering length in lattice QCD
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Resonance properties from the finite-volume energy spectrum
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multichannel one-to-two transition amplitudes in a finite volume
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics
• Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Matrix elements of unstable states
• Twist-two matrix elements at finite and infinite volume
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• To bind or not to bind: The H-dibaryon in light of chiral effective field theory
• Finite volume corrections to pi-pi scattering
• The hyperon-nucleon interaction: conventional versus effective field theory approach
• Exotic bound states of two baryons in light of chiral effective field theory
• A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model
• Hadronic Interactions from Lattice QCD
• Hyperons in Two Flavor Chiral Perturbation Theory
• The Delta-resonance in a finite volume
• Universality of Mixed Action Extrapolation Formulae
• Study of CP violation in hyperon decays at Super Charm-Tau Factories with a polarized electron beam
• Hadrons in Strong Electric and Magnetic Fields
• Implementing the three-particle quantization condition for ${\pi }^{+}{\pi }^{+}{K}^{+}$ and related systems
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• Nuclear Reactions from Lattice QCD
• Partial Wave Mixing in Hamiltonian Effective Field Theory
• Hamiltonian effective field theory in elongated or moving finite volume
• Scattering of charmed baryons on nucleons
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Partial twisting for scalar mesons
• Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
• Effective Field Theory of Nucleon-Nucleon Scattering on Large Discrete Lattices
• Impurity Lattice Monte Carlo for Hypernuclei
• Hypernuclei and the hyperon problem in neutron stars
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• Chiral Corrections to Hyperon Axial Form Factors
• Generalized Lüscher's Formula in Multichannel Baryon-Baryon Scattering
• Finite-volume energy shift of the three-nucleon ground state
• Connected Parts of Decuplet Electromagnetic Properties
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Hyperon-nucleon single-particle potentials with low-momentum interactions
• Hyperon Physics from Lattice QCD
• One-loop contributions in the EFT for the $\Lambda N\to NN$ transition
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• Resonances in an external field: the 1+1 dimensional case
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• Lattice-QCD Determination of the Hyperon Axial Couplings in the Continuum Limit
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box
• Calculating energy shifts in terms of phase shifts
• Topics in Effective Field Theory for Lattice QCD
• Meson-Baryon Scattering Parameters from Lattice QCD with an Isospin Chemical Potential
• Review on Hadron Spectroscopy
• Topics in Lattice QCD and Effective Field Theory
• Chiral Perturbation Theory on the Lattice and its Applications
• Strange two-baryon interactions using chiral effective field theory
• Testing a new method for scattering in finite volume in the ${\varphi }^4$ theory
• Baryon-Baryon Interactions from the Lattice