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Addendum: "Universality of low-energy scattering in 2+1 dimensions: The nonsymmetric case" [J. Math. Phys. 46, 032103 (2005)].
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Addendum: "Universality of low-energy scattering in 2+1 dimensions: The nonsymmetric case" [J. Math. Phys. 46, 032103 (2005)].

N.N. Khuri, André Martin, Pierre Sabatier and Tai Tsun Wu
Journal of Mathematical Physics, Vol.46(12 - ERRATA)
13/12/2005

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 $f=\sqrt{\frac{\pi}{2}}\{1/log k)+O(1/(log k)^2)$. 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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