Carlos F de Araujo Jr et al 1997 J. Phys. A: Math. Gen. 30 4687 doi:10.1088/0305-4470/30/13/020
Application of renormalization to potential scattering
Carlos F de Araujo Jr
, Lauro Tomio, Sadhan K Adhikari and T Frederico
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 
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.
- PACS
-
11.10.St Bound and unstable states; Bethe-Salpeter equations
- MSC
-
15A90 Applications of matrix theory to physics
81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)
- Subjects
- Dates
-
Issue 13 (7 July 1997)
Received 23 September 1996, in final form 25 February 1997
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Application of renormalization to potential scattering
Carlos F de Araujo Jr et al 1997 J. Phys. A: Math. Gen. 30 4687
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