<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>I</mi><mo>=</mo><mn>2</mn><mn></mn></math></span> 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

doi:10.1103/PhysRevD.66.077501

$I = 2$ pion scattering length with the Wilson fermion

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, and T. Yoshié (JLQCD Collaboration)

Phys. Rev. D 66, 077501 – Published 1 October 2002

Abstract

The 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 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 $a_{0} {/ m}_{π} = - 2.09 (35) 1 / {GeV}^{2},$ which is consistent with the prediction of chiral perturbation theory $a_{0} {/ m}_{π} = - 2.265 (51) 1 / {GeV}^{2} .$

Received 8 July 2002

DOI:https://doi.org/10.1103/PhysRevD.66.077501

Authors & Affiliations

S. Aoki¹, M. Fukugita², S. Hashimoto³, K-I. Ishikawa^1,4, N. Ishizuka^1,4, Y. Iwasaki⁴, K. Kanaya^1,4, T. Kaneko³, Y. Kuramashi³, M. Okawa⁵, T. Onogi⁶, S. Tominaga⁴, N. Tsutsui³, A. Ukawa^1,4, N. Yamada³, and T. Yoshié^1,4 (JLQCD Collaboration)

¹Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
²Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan
³High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
⁴Center for Computational Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
⁵Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526, Japan
⁶Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

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Vol. 66, Iss. 7 — 1 October 2002

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Physical Review D

covering particles, fields, gravitation, and cosmology