arXiv:hep-lat/0110151·v1·High Energy Physics — Lattice

I=2 Pion Scattering Length and Phase Shift with Wilson Fermions

CP-PACS Collaboration : S. Aoki🇯🇵 · R. Burkhalter🇯🇵 · M. Fukugita🇯🇵 · S. Hashimoto🇯🇵 · N. Ishizuka🇯🇵 · Y. Iwasaki🇯🇵 · K. Kanaya🇯🇵 · T. Kaneko🇯🇵 · Y. Kuramashi🇯🇵 · V. Lesk🇯🇵 · M. Okawa🇯🇵 · Y. Taniguchi🇯🇵 · A. Ukawa🇯🇵 · T. Yoshié🇯🇵

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Abstract

We present preliminary results of scattering length and phase shift for I=2 S-wave $π π$ system with the Wilson fermions in the quenched approximation. The finite size method presented by Lüscher is employed, and calculations are carried out at $β = 5.9$ on a $2 4^{3} \times 60$ and $3 2^{3} \times 60$ lattice.