$\pi\pi$ scattering from a similarity renormalization group perspective
Abstract
A Wilsonian approach based on the Similarity Renormalization Group to scattering is analyzed in the 00, 11 and 02 channels in momentum space up to a maximal CM energy of GeV. We identify the Hamiltonian by means of the 3D reduction of the Bethe-Salpeter equation in the Kadyschevsky scheme. We propose a new method to integrate the SRG equations based in the Crank-Nicolson algorithm with a single step finite difference so that isospectrality is preserved at any step of the calculations. We discuss issues on the high momentum tails present in the fitted interactions hampering calculations.
Cite
@article{arxiv.1909.01715,
title = {$\pi\pi$ scattering from a similarity renormalization group perspective},
author = {María Gómez-Rocha and Enrique Ruiz Arriola},
journal= {arXiv preprint arXiv:1909.01715},
year = {2020}
}
Comments
7 pages, 12 figures. Presented by Mar\'ia G\'omez-Rocha at the 15th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, MENU-2019