ππ scattering from a similarity renormalization group perspective
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Publisher version: Gómez Rocha, María; Ruiz Arriola, Enrique. ππ scattering from a similarity renormalization group perspective. AIP Conference Proceedings 2249, 030008 (2020); [https://doi.org/10.1063/5.0009708]
SponsorshipEuropean Commission under the Marie Sklodowska-Curie Action Co-fund 2016 EU project 754446 - Athenea3i; Spanish MINECO's Juan de la Cierva-Incorporacion programme IJCI-2017-31531 FIS2017-8503-C21-P; Junta de Andalucia FQM225
A Wilsonian approach based on the similarity renormalization group to ππ scattering is analyzed in the JI = 00, 11 and 02 channels in momentum space up to a maximal center-of-mass energy of s⎯⎯√=1.4 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.