Surpassing Wigner's causality bound in relativistic scattering with zero-range interaction

preprint2016arXivOpen access

Abstract

It is shown that the relativistic zero-range potential scattering surpasses Wigner's causality bound, while being consistent with causality. The relativistic theory shows in addition a richer analytic structure, such as a KK-matrix pole necessarily accompanying the bound-state solution. Implications of these results for the effective-field theory of nuclear forces are briefly considered.

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