Universality of low-energy scattering in 2+1 dimensions: The nonsymmetric case
Khuri, N. N.
Sabatier, Pierre C.
Wu, Tai Tsun
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CitationKhuri, N. N., André Martin, Pierre C. Sabatier, and Tai Tsun Wu. 2005. “Universality of Low-Energy Scattering in 2+1 Dimensions: The Nonsymmetric Case.” Journal of Mathematical Physics 46 (3): 32103. https://doi.org/10.1063/1.1843274.
AbstractFor a very large class of potentials, V((x) over right arrow),(x) over right arrow is an element of R-2, we prove the universality of the low-energy scattering amplitude, f((k) over right arrow,(k) over right arrow). The result is f=root pi/2(1/log k) +o(1)/[log(1/k)]. 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(vertical bar(x) over right arrow vertical bar).
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41555802
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