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arXiv · hep-th/0401222

Universality of Low-Energy Scattering in 2+1 Dimensions: The Non Symmetric Case

N. N. Khuri·Andre Martin·Pierre C. Sabatier·Tai Tsun Wu
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Abstract

For a very large class of potentials, $V(\vec{x})$, $\vec{x}\in R^2$, we prove the universality of the low energy scattering amplitude, $f(\vec{k}', \vec{k})$. The result is $f=\sqrt{\fracπ{2}}\{1/log k)+O(1/(log k)^2)$. The only exceptions occur if $V$ happens to have a zero energy bound state. Our new result includes as a special subclass the case of rotationally symmetric potentials, $V(|\vec{x}|)$.

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N. N. Khuri, Andre Martin, Pierre C. Sabatier, Tai Tsun Wu. 2004-09-21. Universality of Low-Energy Scattering in 2+1 Dimensions: The Non Symmetric Case. https://doi.org/10.1063/1.1843274

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