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, N. Tsutsui, A. Ukawa, N. Yamada, T. Yoshié
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 a0mπ= -0.0410(69), which is consistent with the prediction of chiral perturbation theory a0mπ=-0.0444(10).
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