8–12 Jul 2024
Facultat de Biologia, Universitat de Barcelona
Europe/Madrid timezone

Pion Pion – Scattering with IAM in the Finite Volume

10 Jul 2024, 17:30
20m
Aula M5 (Facultat de Biologia)

Aula M5

Facultat de Biologia

Speaker

Mr Julián A. Sánchez (IFIC, University of Valencia)

Description

We study the effect of a finite volume for pion-pion scattering over energy levels and physical
observables such as the phase-shift or pion mass. The method to determine the energy levels is done
using a finite set of cubic harmonics or the matrices which represents the Irreps properly, which
expands our Inverse Amplitude Method, (as well we apply the method already in the known Bether-
Salpeter equations - BSE ) over a set of irreducible groups of rotations from the octahedral group,
giving us a forward classification of energy levels, independently of whether we are including uand
t-loops. On the other hand, the study of finite corrections of pion mass and phase-shift is
already done, looking a dependence with the size of the box (L). We expect that our results will help
to optimize the process of determination of energy levels and phase-shifts with higher accuracy,
including multiple loops.

session E. Hadron and Nuclear Interactions

Primary author

Mr Julián A. Sánchez (IFIC, University of Valencia)

Co-authors

Angel Gómez Nicola (Universidad Complutense de Madrid) Raquel Molina Peralta (IFIC-UV)

Presentation materials