I=2 Pion Scattering Length with the Wilson Fermion

Details I=2 Pion Scattering Length with the Wilson Fermion I=2 Pion Scattering Length with the Wilson Fermion

2002-06-15

arxiv.org/abs/hep-lat/0206011v2

Phys.Rev.D66:077501,2002

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 14 pages, 5 eps figures, uses revtex and epsfig

Scientific paper

10.1103/PhysRevD.66.077501

The calculation of the I=2 pion scattering length in quenched lattice QCD is revisited. The calculation is carried out with the Wilson fermion action employing L\"uscher's finite size scaling method at $\beta=5.9$, 6.1, and 6.3 corresponding to the range of lattice spacing $a\simeq 0.12 - 0.07$ fm. We obtain in the continuum limit $a_0m_\pi = -0.0410(69)$, which is consistent with the prediction of chiral perturbation theory $a_0m_\pi=-0.0444(10)$.

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