Renormalization Group and Scattering-equivalent Hamiltonians on a Coarse Momentum Grid

We consider the $\pi\pi$-scattering problem in context of Kadyshevsky equation. In this scheme, we introduce a momentum grid and provide an isospectral definition phase-shift based on spectral shift Chebyshev angle. address unnatural high tails present fitted interactions which reaches energies far beyond maximal center-of-mass energy $\sqrt{s}=1.4$ GeV. It turns out that these can be integrated by using block-diagonal generator SRG.