Scattering amplitude from Bethe-Salpeter wave function inside the interaction range

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We propose a method to calculate scattering amplitudes using the Bethe-Salpeter wave function inside the interaction range on the lattice. For an exploratory study of this method, we evaluate a scattering length of I=2 S-wave two pions by the use of the on-shell scattering amplitude. Our result is confirmed to be consistent with the value obtained from the conventional finite volume method. The half-off-shell scattering amplitude is also evaluated.

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  • Physical review D

    Physical review D 98 (1), 11501-, 2018-07

    American Physical Society

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