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 · 12 August 2019 · Physical Review D

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

Culver, C. ^[1]; Mai, M. ^[1]; Alexandru, A. ^[2]; Döring, M. ^[3]; Lee, F. X. ^[1]

George Washington Univ., Washington, DC (United States)
George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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:: PHY-1151648; PHY-1452055; FG02-95ER40907; AC05-06OR23177; SC001658MM

OSTI ID:: 1556834

Alternate ID(s):: OSTI ID: 1557623

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

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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