I=2 Pion Scattering Length from a Coarse Anisotropic Lattice Calculation

Details I=2 Pion Scattering Length from a Coarse Anisotropic Lattice Calculation I=2 Pion Scattering Length from a Coarse Anisotropic Lattice Calculation

2001-09-17

arxiv.org/abs/hep-lat/0109010v3

Physics

High Energy Physics

High Energy Physics - Lattice

Modified version, 11 pages, 3 figures, latex file typeset with elsart.cls

Scientific paper

Using the tadpole improved clover Wilson quark action on coarse anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. We show that such a calculation is feasible using small lattices on small computers provided that the finite volume and finite lattice spacing errors are under control. Our results are extrapolated towards the chiral, infinite volume and continuum limit. Comparisons of our results with previous lattice results from JLQCD collaboration, the new results from E865 experiment, and the results from Chiral Perturbation Theory are made. Good agreements are found.

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