ππ scattering from a similarity renormalization group perspective Gómez Rocha, María Ruiz Arriola, Enrique We thank Varese Salvador Timoteo for discussions. This work has been supported in part by the European Commission under the Marie Skłodowska-Curie Action Co-fund 2016 EU project 754446 – Athenea3i and by the Spanish MINECO’s Juan de la Cierva-Incorporación programme, Grant Agreement No. IJCI-2017-31531, FIS2017-8503-C2- 1-P and Junta de Andalucía (grant 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. 2021-01-27T08:58:39Z 2021-01-27T08:58:39Z 2020-07-27 info:eu-repo/semantics/conferenceObject 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] http://hdl.handle.net/10481/66050 10.1063/5.0009708 eng info:eu-repo/grantAgreement/EC/H2020/Marie Sklodowska-Curie Action Co-fund 2016 EU project 754446 - Athenea3i http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España American Institute of Physics