2026-04-17T13:14:08Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1317692025-12-05T17:01:34Zcom_2072_1057col_2072_478823col_2072_478904col_2072_478917

RECERCAT author Beane, Silas R. author Chang, Emmanuel author Detmold, William author Lin, H. W. author Luu, Thomas C. author Orginos, Kostas author Parreño García, Assumpta author Savage, Martin J. author Torok, Aaron author Walker-Loud, André author NPLQCD Collaboration 2019-04-08T11:15:54Z2019-04-08T11:15:54Z2012-02-162019-04-08T11:15:54Z The π + π + s -wave scattering phase shift is determined below the inelastic threshold using lattice QCD. Calculations were performed at a pion mass of m π ∼ 390 MeV with an anisotropic n f = 2 + 1 clover fermion discretization in four lattice volumes, with spatial extent L ∼ 2.0 , 2.5, 3.0 and 3.9 fm, and with a lattice spacing of b s ∼ 0.123 fm in the spatial direction and b t ∼ b s / 3.5 in the time direction. The phase shift is determined from the energy eigenvalues of π + π + systems with both zero and nonzero total momentum in the lattice volume using Lüscher's method. Our calculations are precise enough to allow for a determination of the threshold scattering parameters, the scattering length a , the effective range r , and the shape parameter P , in this channel and to examine the prediction of two-flavor chiral perturbation theory: m 2 π a r = 3 + O ( m 2 π / Λ 2 χ ) . Chiral perturbation theory is used, with the lattice QCD results as input, to predict the scattering phase shift (and threshold parameters) at the physical pion mass. Our results are consistent with determinations from the Roy equations and with the existing experimental phase shift data. (c) American Physical Society, 2012 info:eu-repo/semantics/openAccess Física de partícules Experiments Particle physics Experiments I=2 ππ S-wave scattering phase shift from lattice QCD info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion