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arXiv · 2005.06236

Renormalization group and scattering-equivalent Hamiltonians on a coarse momentum grid

María Gómez-Rocha·Enrique Ruiz Arriola
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Abstract

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

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María Gómez-Rocha, Enrique Ruiz Arriola. 2020-05-13. Renormalization group and scattering-equivalent Hamiltonians on a coarse momentum grid. https://arxiv.org/abs/2005.06236

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