Abstract
We demonstrate the effcacy of the stochastic LapH method to treat all-toall quark propagation on a Nf = 2 + 1 CLS ensemble with large linear spatial extent L = 5:5 fm, allowing us to obtain the benchmark elastic isovector p-wave pion-pion scattering amplitude to good precision already on a relatively small number of gauge configurations. These results hold promise for multi-hadron spectroscopy at close-to-physical pion mass with exponential finite-volume effects under control.
Highlights
Hadron spectroscopy has a long-standing history in lattice QCD
We demonstrate the efficacy of the stochastic LapH method to treat all-toall quark propagation on a Nf = 2 + 1 Coordinated Lattice Simulations (CLS) ensemble with large linear spatial extent L = 5.5 fm, allowing us to obtain the benchmark elastic isovector p-wave pion-pion scattering amplitude to good precision already on a relatively small number of gauge configurations
State-of-the-art calculations employ multi-hadron interpolating operators in addition to the traditional single-meson and single-baryon operators to accurately determine the spectrum of QCD in a finite volume, which can be used to constrain infinite-volume physics via the Lüscher formalism and its extensions [1,2,3]
Summary
Hadron spectroscopy has a long-standing history in lattice QCD. State-of-the-art calculations employ multi-hadron interpolating operators in addition to the traditional single-meson and single-baryon operators to accurately determine the spectrum of QCD in a finite volume, which can be used to constrain infinite-volume physics via the Lüscher formalism and its extensions [1,2,3].1 In a finite volume with periodic boundary conditions in the spatial directions, information about infinite-volume scattering amplitudes involving QCD-stable particles is encoded in the energy shifts between eigenstates of the interacting theory and the corresponding noninteracting energies. State-of-the-art calculations employ multi-hadron interpolating operators in addition to the traditional single-meson and single-baryon operators to accurately determine the spectrum of QCD in a finite volume, which can be used to constrain infinite-volume physics via the Lüscher formalism and its extensions [1,2,3].1. In a finite volume with periodic boundary conditions in the spatial directions, information about infinite-volume scattering amplitudes involving QCD-stable particles is encoded in the energy shifts between eigenstates of the interacting theory and the corresponding noninteracting energies.
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