LC2019 - QCD on the light cone: from hadrons to heavy ions

$\pi\pi$ scattering on a renormalized Hamiltonian matrix

16 Sept 2019, 15:35

25m

Amphithéâtre Sophie Germain (Alan Turing Building)

Effective field theories Parallel 1

Speaker

Maria Gomez-Rocha (University of Granada)

Description

A Wilsonian approach to $\pi\pi$ scattering based in the Glazek-Wilson Similarity Renormalization Group for Hamiltonian is analyzed in the $JI=$00, 11 and 20 channels in momentum space up to a maximal CM energy of $\sqrt{s}=1.4$ 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 sospectrality is preserved at any step of the calculations. We discuss issues on the high momentum tails present in the fitted interactions hampering calculations.

Presentation materials

2019LightCone.pdf