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

Culver, C.; Mai, M.; Alexandru, A.; Döring, M.; Lee, F. X.

doi:10.1103/PhysRevD.100.034509

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

Journal Article · Thu Aug 01 00:00:00 EDT 2019 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.100.034509· OSTI ID:1556834

Culver, C.; Mai, M.; Alexandru, A.; Döring, M.; Lee, F. X.

Pion-pion elastic scattering in the isospin I=2 channel is reported on 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 measurements match the experimental results.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: FG02-95ER40907; AC05-06OR23177; SC001658MM; PHY-1151648; PHY-1452055

OSTI ID:: 1556834

Alternate ID(s):: OSTI ID: 1557623

Report Number(s):: JLAB-THY-19-2972; DOE/OR/-23177-4729; arXiv:1905.10202; PRVDAQ; 034509

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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