Elastic nucleon-pion scattering at $m_{\pi }=200\mathrm{MeV}$ from lattice QCD

Abstract

Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_{\mathrm{f}}=2+1$ dynamical quark flavors and $m_{\pi }=200\mathrm{MeV}$. The $s$-wave scattering lengths with both total isospins $I=1/2$ and $I=3/2$ are inferred from the finite-volume spectrum below the inelastic threshold together with the $I=3/2$ $p$-wave containing the $\Delta (1232)$ resonance. The amplitudes are well-described by the effective range expansion with parameters constrained by fits to the finite-volume energy levels enabling a determination of the $I=3/2$ scattering length with statistical errors below $5\%$, while the $I=1/2$ is somewhat less precise. Systematic errors due to excited states and the influence of higher partial waves are controlled, providing a pathway for future computations down to the physical light quark masses with multiple lattice spacings and physical volumes.

33 pages, 16 figures; version accepted for publication

References in corpus (19)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Pion-nucleon scattering in the Roper channel from lattice QCD
• Implementing the three-particle quantization condition including higher partial waves
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Three-body interactions from the finite-volume QCD spectrum
• Pionic deuterium
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• Hadronic shift in pionic hydrogen
• The pion-nucleon sigma term from lattice QCD
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD

Cited by in corpus (13)

• The Present and Future of QCD
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Elastic Nucleon-Pion scattering amplitudes in the $\Delta$ channel at physical pion mass from Lattice QCD
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Investigating the p-${\pi }^{\pm }$ and p-p-${\pi }^{\pm }$ dynamics with femtoscopy in pp collisions at $\sqrt{s}=13$ TeV
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Position-space sampling for local multiquark operators in lattice QCD using distillation and the importance of tetraquark operators for $T_{cc}(3875{)}^{+}$
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory
• Higher order quantization conditions for two-body scattering with spin