$I=2$ pion scattering amplitude with Wilson fermions

Details $I=2$ pion scattering amplitude with Wilson fermions $I=2$ pion scattering amplitude with Wilson fermions

1993-01-24

arxiv.org/abs/hep-lat/9301016v2

Phys.Rev. D48 (1993) 388-396

Physics

High Energy Physics

High Energy Physics - Lattice

This PS file includes 4 tables and figures 1-8 on 25 pages. Los Alamos Preprint Number LAUR-92-3641

Scientific paper

10.1103/PhysRevD.48.388

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of chiral perturbation theory even for pions of mass 560-700 MeV. Within the 10\% errors, we do not see the onset of the bad chiral behavior expected for Wilson fermions. We also derive rigorous inequalities that apply to 2-particle correlators and as a consequence show that the interaction in the antisymmetric state of two pions has to be attractive.

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