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arXiv · hep-th/9708032

Application of Renormalization to Potential Scattering

C. F. de Araujo, Jr.·L. Tomio·S. K. Adhikari·T. Frederico
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Abstract

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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C. F. de Araujo, Jr., L. Tomio, S. K. Adhikari, T. Frederico. 1997-08-06. Application of Renormalization to Potential Scattering. https://doi.org/10.1088/0305-4470%2F30%2F13%2F020

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