Meson-Meson Scattering on Anisotropic Lattices |
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Authors: | DU Xi-Ning MIAO Chuan MENG Guang-Wei LIU Chuan |
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Institution: | School of Physics, Peking University, Beijing 100871, China |
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Abstract: | Using the tadpole improved Wilson quark action on small, coarse,
and anisotropic lattices, meson-meson scattering lengths are
calculated within quenched approximation. The study covers
pion-pion scattering in the I=2 channel and kaon-pion scattering
in the I=3/2 channel. The results are extrapolated towards the
chiral limit. Finite volume and finite lattice spacing errors are
also analyzed and results in the infinite volume and continuum
limit are obtained. Our results are compared with the results
obtained using Roy equations, chiral perturbation theory,
dispersion relations, and the experimental data. We also compare
our results with other lattice results on the scattering lengths. |
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Keywords: | Kπ scattering length lattice QCD improved actions |
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