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

2009/05/01 by Michael Lage, Ulf-G. Meißner, Akaki Rusetsky · 12 citations
Physics and Astronomy · #Computer science #High-Energy Particle Collisions Research #Isoscalar #Lattice (music) #Lattice QCD #Measure (data warehouse) #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering length #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.physletb.2009.10.055

8 pages, 3 eps figures

arxiv created 2009/05/01 · openalex publication_date 2009/10/22 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a method to determine the isoscalar 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 Λ ( 1405 ) resonance.

Citations

• A framework for exploring the interactions and decays of hyperons with lattice QCD
• Critical review ofK−ppnbound states
• Cusps in K→3π decays
• In-medium nuclear interactions of low-energy hadrons
• Cusps in KL→3π decays
• Chiral SU(3) dynamics, KN interactions and the quest for antikaon-nuclear clusters

Cited by

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• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Finite-volume formalism in the 2→HI+HI2 transition: An application to the lattice QCD calculation of double beta decays
• KD,ηDsinteraction in finite volume and theDs*0(2317)resonance
• Moving multichannel systems in a finite volume with application to proton-proton fusion
• Chiral extrapolations of the ρ(770) meson in Nf=2+1 lattice QCD simulations
• Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles
• Vector particle scattering on the lattice
• Review of the Λ (1405) A curious case of a strangeness resonance