Application of Renormalization to Potential Scattering

Details Application of Renormalization to Potential Scattering Application of Renormalization to Potential Scattering

1997-08-06

arxiv.org/abs/hep-th/9708032v1

J.Phys.A30:4687-4700,1997

Physics

High Energy Physics

High Energy Physics - Theory

15 pages plus 5 figures

Scientific paper

10.1088/0305-4470/30/13/020

A recently proposed renormalization scheme can be used to deal with nonrelativistic potential scattering exhibiting ultraviolet divergence in momentum space. A numerical application of this scheme is made in the case of potential scattering with $r^{-2}$ divergence for small r, common in molecular and nuclear physics, by the use of cut-offs in momentum and configuration spaces. The cut-off is finally removed in terms of a physical observable and model-independent result is obtained at low energies. The expected variation of the off-shell behavior of the t matrix arising from the renormalization scheme is also discussed.

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