Application of renormalization to potential scattering

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deAraujo, C. F.
Tomio, L.
Adhikari, S. K.
Frederico, T.
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Iop Publishing Ltd
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 using 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 behaviour of the t-matrix arising from the renormalization scheme is also discussed.
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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 30, n. 13, p. 4687-4700, 1997.