I = 2 pion scattering length with the Wilson fermion
2002; American Physical Society; Volume: 66; Issue: 7 Linguagem: Inglês
10.1103/physrevd.66.077501
ISSN1538-4500
AutoresSinya 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,
Tópico(s)High-Energy Particle Collisions Research
ResumoThe calculation of the $I=2$ pion scattering length in quenched lattice QCD is reexamined. The calculation is carried out with the Wilson fermion action employing L\"uscher's finite size scaling method at $\ensuremath{\beta}=5.9,$ $6.1,$ and $6.3$ corresponding to the range of lattice spacing $a\ensuremath{\simeq}0.12\ensuremath{-}0.07\mathrm{fm}.$ We obtain in the continuum limit ${a}_{0}{/m}_{\ensuremath{\pi}}=\ensuremath{-}2.09(35)1/{\mathrm{GeV}}^{2},$ which is consistent with the prediction of chiral perturbation theory ${a}_{0}{/m}_{\ensuremath{\pi}}=\ensuremath{-}2.265(51)1/{\mathrm{GeV}}^{2}.$
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