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Title: I=2 ππ S-wave scattering phase shift from lattice QCD
Author: Beane, Silas R.
Chang, Emmanuel
Detmold, William
Lin, H. W.
Luu, Thomas C.
Orginos, Kostas
Parreño García, Assumpta
Savage, Martin J.
Torok, Aaron
Walker-Loud, André
NPLQCD Collaboration
Keywords: Física de partícules
Particle physics
Issue Date: 16-Feb-2012
Publisher: American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a:
It is part of: Physical Review D, 2012, vol. 85, num. 3, p. 034505
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ISSN: 1550-7998
Appears in Collections:Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))
Articles publicats en revistes (Física Quàntica i Astrofísica)

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