Low-energy potential scattering in two and three dimensions
Mathematical Physics
2009-09-15 v2 math.MP
Abstract
Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a function of the momentum is also derived for longer-range power-law potentials which do not fulfill these conditions.
Cite
@article{arxiv.0812.4054,
title = {Low-energy potential scattering in two and three dimensions},
author = {N. N. Khuri and Andre Martin and Jean-Marc Richard and Tai Tsun Wu},
journal= {arXiv preprint arXiv:0812.4054},
year = {2009}
}
Comments
19 pages, pdflatex, 3 figures, refs. added, typos corrected, to appear in JMP