22-27 March 2015
Hotel do Bosque
Brazil/East timezone

## Wave function of valence of the pion from QCD

Not scheduled
3h 30m
Hotel do Bosque

#### Hotel do Bosque

Rodovia Mário Covas (Rio-Santos) BR - 101 Sul, Km 533, Angra dos Reis, RJ, Brazil
Poster Field theoretical approaches to QCD

### Speaker

Mr Clayton mello (ITA)

### Description

In this work, we are studying the usual formalism of quantum field theory of quantum field theory in Light-Front formalism, with the goal of applying the properties of quantum chromodynamics (QCD) in the scheme nonperturbative. The electromagnetic structure of the pion , wich is a pseudoscalar meson composed of a quark-antiquark bound state with total spin zero, is our first object of study. Our proposal is to obtain a wave function from QCD , wich describes the internal structure of the pion. So that can in particular calculate such as the electromagnetic form factorand meam square radius in energy low and intermediate. In this case of the particle the wave function can be archieved using a model with constituent quark. In this model the quark mass range (running mass) according to the Dyson-Schwinger techniques. Specifically , we performed the calculations in the Light-Front formalism with a model for the constituent quarks bound state of the quark-antiquark pair. The calculations will be compared with other models in the literature, wich on the other hand, are different designs using different wave functions for the pion. In the case of particles of spin-0 as the pion can obtain a wave function, separating it in terms of the Dirac's matrices. In a first approximation we consider the function wave without the Dirac's structure, and thus make the first estimateof how shouldbe the behavior. The presence of poles in the Bethe-Salpeter amplitudecaused resortedthe Nakanish representation. Due to presence of the poles at the vertex of the Bethe-Salpeter amplitude, according to the proposal by reference hindered our attempt to use Nakanish representation. For this reason we are analyzing the poles in the Bethe-Salpeter amplitude in the Light-Front formalism, wich we integrate into terms of energy, via Cauchy's theorem, and thus obtain a wave function analytically.

### Co-authors

Prof. João de Melo (UNICSUL) Prof. Tobias Frederico (ITA)

### Presentation Materials

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