Pion scattering in the isospin I = 2 channel from elongated lattices

Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states bel...

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Bibliographic Details
Published in:Physical review. D 2019-08, Vol.100 (3), p.1, Article 034509
Main Authors: Culver, C., Mai, M., Alexandru, A., Döring, M., Lee, F. X.
Format: Article
Language:English
Subjects:
Chiral dynamics
Elastic scattering
Elongation
Flavor (particle physics)
Lattices
NUCLEAR PHYSICS AND RADIATION PHYSICS
Perturbation theory
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pions
Quantum chromodynamics
Quarks
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Summary:Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method. The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our calculations match the experimental results.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.100.034509