@article{oai:tsukuba.repo.nii.ac.jp:00007784, author = {Aoki, S. and Fukugita, M. and Hashimoto, S. and Ishikawa, K-I. and Ishizuka, N. and Iwasaki, Y. and 岩崎, 洋一 and Kanaya, K. and Kaneko, T. and Kuramashi, Y. and Lesk, V. and Okawa, M. and Taniguchi, Y. and Ukawa, A. and 宇川, 彰 and Yoshie, T.}, issue = {1}, journal = {Physical review D}, month = {Jan}, note = {We present a lattice QCD calculation of the scattering phase shift for the I=2 S-wave two-pion system using the finite size method proposed by Luscher. We work in the quenched approximation employing the standard plaquette action at β=5.9 for gluons and the Wilson fermion action for quarks. The phase shift is extracted from the energy eigenvalues of the two-pion system, which are obtained by a diagonalization of the pion four-point function evaluated for a set of relative spatial momenta. In order to change the momentum of the two-pion system, calculations are carried out on 24^3×60, 32^3×60, and 48^3×60 lattices. The phase shift is successfully calculated over the momentum range 0