A method to measure the antikaon-nucleon scattering length in lattice QCD

Abstract

We propose a method to determine the isoscalar \bar K N scattering length on the lattice. Our method represents the generalization of Lüscher's approach in the presence of inelastic channels (complex scattering length). In addition, the proposed approach allows one to find the position of the S-matrix pole corresponding the the Lambda(1405) resonance.

8 pages, 3 eps figures

References in corpus (11)

• In-medium nuclear interactions of low-energy hadrons
• K^- p scattering length from scattering experiments
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Cusps in K --> 3 pi decays
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Hadronic atoms in QCD + QED
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Cusps in K_L --> 3 pi decays
• Recent Developments on Kaon Condensation and Its Astrophysical Implications
• Critical review of [K- ppn] bound states
• Chiral SU(3) dynamics, KN interactions and the quest for antikaon-nuclear clusters

Cited by in corpus (134)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• FLAG Review 2019
• FLAG Review 2021
• QCD and strongly coupled gauge theories: challenges and perspectives
• Excited state baryon spectroscopy from lattice QCD
• Microscopic Clustering in Light Nuclei
• Scattering processes and resonances from lattice QCD
• Multiple-channel generalization of Lellouch-Luscher formula
• A relativistic, model-independent, three-particle quantization condition
• Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Three particles in a finite volume
• Three-particle scattering amplitudes from a finite volume formalism
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Scalar mesons in a finite volume
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• $I=3$ three-pion scattering amplitude from lattice QCD
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• An solvable three-body model in finite volume
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• Photocouplings at the Pole from Pion Photoproduction
• FLAG Review 2024
• Extraction of Hadron Interactions above Inelastic Threshold in Lattice QCD
• A framework for the calculation of the $\Delta N{\gamma }^{\ast }$ transition form factors on the lattice
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Generalized Lüscher Formula in Multi-channel Baryon-Meson Scattering
• Hadrons and Nuclei
• Two-Nucleon Systems in a Finite Volume: (II) 3S1-3D1 Coupled Channels and the Deuteron
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
• Dynamical coupled-channel approaches on a momentum lattice
• Scattering amplitudes from finite-volume spectral functions
• Matrix elements of unstable states
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• The energy-dependent ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ scattering amplitude from QCD
• QCD and the Strange Baryon Spectrum
• The quark-mass dependence of elastic $\pi K$ scattering from QCD
• Alternative derivation of the relativistic three-particle quantization condition
• Two-Baryon Systems with Twisted Boundary Conditions
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Scattering of two and three physical pions at maximal isospin from lattice QCD
• Lattice QCD and Neutrino-Nucleus Scattering
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Two- and three-body interactions in ${\phi }^4$ theory from lattice simulations
• Dynamically-coupled partial-waves in $\rho \pi$ isospin-2 scattering from lattice QCD
• Form factors of two-hadron states from a covariant finite-volume formalism
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Novel approaches in Hadron Spectroscopy
• Radiative capture reactions in lattice effective field theory
• An numerical approach for finite volume three-body interaction
• Two-flavor Simulations of the $\rho (770)$ and the Role of the $K\bar{K}$ Channel
• Hadron interactions in lattice QCD
• The pole structure of the Lambda(1405) in a recent QCD simulation
• Low-lying Lambda Baryons from the Lattice
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Two-Particle Elastic Scattering in a Finite Volume Including QED
• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
• The Optical Potential on the Lattice
• Multi-${\pi }^{+}$ systems in finite volume
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• Adiabatic projection method for scattering and reactions on the lattice
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Coupled-channel scattering in 1+1 dimensional lattice model
• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Modeling few-body resonances in finite volume
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• $Z_c(3900)$: Confronting theory and lattice simulations
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Opportunities for lattice QCD in quark and lepton flavor physics
• A lattice model of heavy-light three-body system
• Propagation of particles on a torus
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Nuclear Reactions from Lattice QCD
• Partial Wave Mixing in Hamiltonian Effective Field Theory
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• Coulomb corrections to two-particle interaction in artificial traps
• Hamiltonian effective field theory in elongated or moving finite volume
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Finite-volume formalism in the $2\stackrel{H_I+H_I}{\to }2$ transition: an application to the lattice QCD calculation of double beta decays
• Study of decuplet baryon resonances from lattice QCD
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Vector particle scattering on the lattice
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Visualizing resonances in finite volume
• Variations on the Maiani-Testa approach and the inverse problem
• On-shell representations of two-body transition amplitudes: single external current
• Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC
• Nuclear reactions in artificial traps
• Regularisation in Nonperturbative Extensions of Effective Field Theory
• A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice
• Resonances in an external field: the 1+1 dimensional case
• Extraction of the resonance parameters at finite times
• Photodisintegration of a Bound State on the Torus
• Analytic expansions of multi-hadron finite-volume energies: I. Two-particle states
• Two-current transition amplitudes with two-body final states
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Compositeness of hadron resonances in finite volume
• Lattice investigation of the tetraquark candidates a0(980) and kappa
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Meson-Nucleon Scattering Amplitudes from Lattice QCD
• Study of the $\bar{K}N$ system and coupled channels in a finite volume
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Progress in three-particle scattering from LQCD
• Higher order finite volume quantization conditions for two spinless particles
• Coupled-channel scattering of $DD,D{D}^{\ast }$ and $D^{\ast }{D}^{\ast }$ in isospin-$1$ from lattice QCD
• Towards a theory of baryon resonances
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• Three particles on the lattice
• Multiple-channel generalization of Lellouch-Lüscher formula: Lattice 2012 conference proceedings
• Formal Developments for Lattice QCD with Applications to Hadronic Systems
• Potential dangers when phase shifts are used as a link between experiment and QCD
• The nucleon recoil effect in antikaon-deuteron scattering at threshold
• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system
• Lattice QCD: Flavor Physics and Spectroscopy