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Quenched QCD simulations are performed on lattices with extents $N_s{=}16,24,32,48$ and $N_t{=}128$ as well as lattice spacing $a{\\sim}0.115\\,\\mathrm{fm}$ and a pion mass of $m_\\pi{\\sim}940\\,\\mathrm{MeV}$. The phase shift and the scattering length are calculated in these two methods. 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Ishii, S. Aoki, T. Doi, T. Hatsuda, T. Kurth","submitted_at":"2013-05-20T08:34:11Z","abstract_excerpt":"We present a lattice QCD study of the phase shift of $I{=}2$ $\\pi\\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD simulations are performed on lattices with extents $N_s{=}16,24,32,48$ and $N_t{=}128$ as well as lattice spacing $a{\\sim}0.115\\,\\mathrm{fm}$ and a pion mass of $m_\\pi{\\sim}940\\,\\mathrm{MeV}$. The phase shift and the scattering length are calculated in these two methods. 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