Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1857694 | Annals of Physics | 2008 | 20 Pages |
Abstract
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r21/r2 potential perturbed by a 1/r41/r4 correction. The power-counting rule, an important ingredient of effective theory, is established by seeking the minimum set of short-range counterterms that renormalize the scattering amplitude. We show that leading-order counterterms are needed in all partial waves where the potential overcomes the centrifugal barrier, and that the additional counterterms at next-to-leading order are the ones expected on the basis of dimensional analysis.
Related Topics
Physical Sciences and Engineering
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Authors
B. Long, U. van Kolck,