arXiv:hep-lat/0206011·v2·High Energy Physics — Lattice

I=2 Pion Scattering Length with the Wilson Fermion

JLQCD Collaboration: S. Aoki🇯🇵 · M. Fukugita🇯🇵 · S. Hashimoto🇯🇵 · K-I. Ishikawa🇯🇵 · N. Ishizuka🇯🇵 · Y. Iwasaki🇯🇵 · K. Kanaya🇯🇵 · T. Kaneko🇯🇵 · Y. Kuramashi🇯🇵 · M. Okawa🇯🇵 · T. Onogi🇯🇵 · S. Tominaga🇯🇵

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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 Lüscher'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 $a_{0} m_{π} = - 0.0410 (69)$ , which is consistent with the prediction of chiral perturbation theory $a_{0} m_{π} = - 0.0444 (10)$ .