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

Gupta, Rajan and Patel, Apoorva and Sharpe, Stephen (1993) $I=2$ pion scattering amplitude with Wilson fermions. [Preprint]

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## Abstract

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.

Item Type: Preprint Phys.Rev. D48 (1993) 388-396 Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre 31 Jul 2004 19 Sep 2010 04:13 http://eprints.iisc.ac.in/id/eprint/918

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