I=2 Pion Scattering Length with the Wilson Fermion

Abstract

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 β=5.9, 6.1, and 6.3 corresponding to the range of lattice spacing a 0.12 - 0.07 fm. We obtain in the continuum limit a0mπ = -0.0410(69), which is consistent with the prediction of chiral perturbation theory a0mπ=-0.0444(10).

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