Low-energy potential scattering in two and three dimensions

Details Low-energy potential scattering in two and three dimensions Low-energy potential scattering in two and three dimensions

2008-12-21

arxiv.org/abs/0812.4054v2

J. Math. Phys. 50, 072105 (2009)

Physics

Mathematical Physics

19 pages, pdflatex, 3 figures, refs. added, typos corrected, to appear in JMP

Scientific paper

10.1063/1.3167803

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.

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