Low energy scattering phase shifts for meson-baryon systems

Abstract

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390 MeV, we determine the scattering lengths and effective ranges for these systems at the corresponding quark masses. We also perform the calculation at a lighter quark mass, m_pi ~ 230 MeV, on the largest volume. Using these determinations, along with those in previous work, we perform a chiral extrapolation of the scattering lengths to the physical point after correcting for the effective range contributions using the multi-volume calculations performed at m_pi ~ 390 MeV.

Added Figs. 2, 4 and additional discussion to further verify methods. Published version

References in corpus (53)

• A New Expansion for Nucleon-Nucleon Interactions
• Nucleon-Nucleon Scattering from Effective Field Theory
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Two Nucleons on a Lattice
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• Coupled $\pi \pi ,K\overline{K}$ scattering in $P$-wave and the $\rho$ resonance from lattice QCD
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Hadron Scattering Lengths in Lattice QCD
• Resonance Parameters of the rho-Meson from Lattice QCD
• Coupled channel analysis of the rho meson decay in lattice QCD
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Lattice QCD Calculation of the $\rho$ Meson Decay Width
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Resonance properties from the finite-volume energy spectrum
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• $\rho$ Meson Decay in 2+1 Flavor Lattice QCD
• Resonance parameters of the rho-meson from asymmetrical lattices
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• Predicting positive parity $B_s$ mesons from lattice QCD
• Heavy Quarks on Anisotropic Lattices: The Charmonium Spectrum
• The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
• The Magnetic Structure of Light Nuclei from Lattice QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Ab initio calculation of the $np\to d\gamma$ radiative capture process
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• High Statistics Analysis using Anisotropic Clover Lattices: (I) Single Hadron Correlation Functions
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• The ratio FK/Fpi in QCD
• The resonant ${\pi }^{+}\gamma \to {\pi }^{+}{\pi }^0$ amplitude from Quantum Chromodynamics
• K pi scattering and the K* decay width from lattice QCD
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Spin-Orbit Force from Lattice QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Meson-baryon scattering lengths in HB$\chi$PT
• Connecting physical resonant amplitudes and lattice QCD
• Chiral corrections to kaon-nucleon scattering lengths
• Nucleon-pion-state contribution to nucleon two-point correlation functions
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Lattice study on kaon nucleon scattering length in the I=1 channel
• Unitary Limit of Two-Nucleon Interactions in Strong Magnetic Fields
• Decuplet contribution to the meson-baryon scattering lengths
• Baryon masses at nonzero isospin/kaon density

Cited by in corpus (19)

• Scattering processes and resonances from lattice QCD
• $P$-wave $\pi \pi$ scattering and the $\rho$ resonance from lattice QCD
• The elastic $I=3/2$ $p$-wave nucleon-pion scattering amplitude and the $\Delta (1232)$ resonance from $N_{\mathrm{f}}=2+1$ lattice QCD
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Towards grounding nuclear physics in QCD
• Scattering amplitudes from finite-volume spectral functions
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• 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
• Elastic nucleon-pion scattering at $m_{\pi }=200\mathrm{MeV}$ from lattice QCD
• Efficient solution of the multi-channel Lüscher determinant condition through eigenvalue decomposition
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• Meson-Nucleon Scattering Amplitudes from Lattice QCD
• S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method
• Lattice methods and effective field theory
• Meson electro-/photo-production from QCD
• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system