Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-28
J.Math.Phys. 46 (2005) 032103; Erratum-ibid. 46 (2005) 129901
Physics
High Energy Physics
High Energy Physics - Theory
65 pages, Latex, significant changes, new sections and appendices
Scientific paper
10.1063/1.1843274
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, $V(|\vec{x}|)$.
Khuri Nicola N.
Martin Andre
Sabatier Pierre C.
Wu Tai Tsun
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