@article{oai:tsukuba.repo.nii.ac.jp:00009387, author = {Aoki, S. and Fukugita, M. 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 Okawa, M. and Ukawa, A. and 宇川, 彰 and Yamazaki, T. and Yoshie, T.}, issue = {9}, journal = {Physical review D}, month = {May}, note = {We calculate the two-pion wave function in the ground state of the I=2 S-wave system and find the interaction range between two pions, which allows us to examine the validity of the necessary condition for the finite-volume method for the scattering length proposed by Luscher. We work in the quenched approximation employing a renormalization group improved gauge action for gluons and an improved Wilson action for quarks at 1/a=1.207(12) GeV on 163×80, 203×80, and 243×80 lattices. We conclude that the necessary condition is satisfied within the statistical errors for the lattice sizes L>=24 (3.92 fm) when the quark mass is in the range that corresponds to mpi2=0.273?0.736 GeV2. We obtain the scattering length with a smaller statistical error from the wave function than from the two-pion time correlator.}, title = {I=2 pion scattering length from two-pion wave functions}, volume = {71}, year = {2005} }