Causality and the effective range expansion

Details Causality and the effective range expansion Causality and the effective range expansion

2010-02-24

arxiv.org/abs/1002.4603v2

Annals Phys. 325: 2212-2233 (2010)

Physics

Nuclear Physics

Nuclear Theory

27 pages, 5 figures, explicit examples added, typos corrected, final version

Scientific paper

We derive the generalization of Wigner's causality bounds and Bethe's integral formula for the effective range parameter to arbitrary dimension and arbitrary angular momentum. We also discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy scattering. Some of our results were summarized earlier in a letter publication. In this work, we present full derivations and several detailed examples.

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