English

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

High Energy Physics - Lattice 2007-05-23 v3 High Energy Physics - Phenomenology

Abstract

Using the tadpole improved clover Wilson quark action on coarse anisotropic lattices, the ππ\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.

Keywords

Cite

@article{arxiv.hep-lat/0109010,
  title  = {I=2 Pion Scattering Length from a Coarse Anisotropic Lattice Calculation},
  author = {Chuan Liu and Junhua Zhang and Ying Chen and J. P. Ma},
  journal= {arXiv preprint arXiv:hep-lat/0109010},
  year   = {2007}
}

Comments

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