Causality and universality in low-energy quantum scattering
H.-W. Hammer, Dean Lee
TL;DR
This paper extends fundamental causality bounds and effective range formulas to various dimensions and angular momenta, exploring their implications for scale separation and universality in low-energy quantum scattering.
Contribution
It generalizes Wigner's bounds and Bethe's formula to arbitrary dimensions and angular momenta, providing new insights into quantum scattering universality.
Findings
Generalized causality bounds to arbitrary dimensions
Extended effective range formulas for various angular momenta
Discussed impact on scale separation and universality
Abstract
We generalize Wigner's causality bounds and Bethe's integral formula for the effective range to arbitrary dimension and arbitrary angular momentum. Moreover, we discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy quantum scattering.
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