arxiv: hep-lat/0206011 · v2 · pith:4HLBGBFTnew · submitted 2002-06-15 · ✦ hep-lat

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

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Y. Kuramashi M. Okawa T. Onogi S. Tominaga N. Tsutsui A. Ukawa N. Yamada T. Yoshi\'e

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keywords calculationfermionlatticelengthpionscatteringwilsonaction

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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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I=2 Pion Scattering Length with the Wilson Fermion

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