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.
Towards a Model-Independent Low Momentum Nucleon-Nucleon Interaction
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abstract
We provide evidence for a high precision model-independent low momentum nucleon-nucleon interaction. Performing a momentum-space renormalization group decimation, we find that the effective interactions constructed from various high precision nucleon-nucleon interaction models, such as the Paris, Bonn, Nijmegen, Argonne, CD Bonn and Idaho potentials, are identical. This model-independent low momentum interaction, called V_{low k}, reproduces the same phase shifts and deuteron pole as the input potential models, without ambiguous assumptions on the high momentum components, which are not constrained by low energy data and lead to model-dependent results in many-body applications. V_{low k} is energy-independent and does not necessitate the calculation of the Brueckner G matrix.
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2019 1verdicts
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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.