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Implicit vs Explicit Renormalization and Effective Interactions
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Effective interactions can be obtained from a renormalization group analysis in two complementary ways. One can either explicitly integrate out higher energy modes or impose given conditions at low energies for a cut-off theory. While the first method is numerically involved, the second one can be solved almost analytically. In both cases we compare the out coming effective interactions for the two nucleon system as functions of the cut-off scale and find a strikingly wide energy region where both approaches overlap, corresponding to relevant scales in light nuclei about 200MeV. This amounts to a great simplification in the determination of the effective interaction parameters.
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Cited by 1 Pith paper
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$\pi\pi$ scattering from a similarity renormalization group perspective
The authors show that SRG evolution makes a fitted pi-pi potential band-diagonal, but they do not verify that the evolved potential reproduces the original phase shifts.
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