# ICHEP 2016 Chicago

3-10 August 2016
Chicago IL USA
US/Central timezone
There is a live webcast for this event.

## Minkowski space approch to the relativistic bound state spectrum

Aug 8, 2016, 6:30 PM
2h
Riverwalk A/B

### Riverwalk A/B

Poster Strong Interactions and Hadron Physics

### Speaker

Vitor Gigante (ITA)

### Description

The Nakanishi integral representation of the Bethe-Salpeter amplitude is used in order to derive a workable framework for bound states, solutions of the homogeneous Bethe-Salpeter Equation, in Minkowski space. The projection onto the null-plane of the homogeneous Bethe-Salpeter Equation is used to derive an equation for the Nakanishi weight function for bound states. We study the bound state of two spinless bosons with the interaction given by the exchange of scalar bosons in the ladder plus cross-ladder approximation, which is used to obtain the spectrum and the three-dimensional structure of the bound states. The unique feature of the method is to access the valence light-front wave function, which are explored in detail for the ground and excited states. The valence momentum distribution amplitude and the impact parameter space representation of the valence state are calculated. Resorting to the analytic structure of the Nakanishi integral representation for the valence wave function, we analysed the equality between the transverse momentum amplitudes computed within Minkowski and Euclidean frameworks. The leading exponential fall-off of the valence wave function in the impact parameter space wave function is derived, which could be of particular interest for studies to hadron structure investigations.

### Primary author

Vitor Gigante (ITA)

### Co-authors

Cristian Gutierrez (IFT-Unesp) Prof. Giovanni Salmè (INFN/Roma) Prof. Lauro Tomio (IFT/UNESP) Prof. Michele Viviani (INFN/Pisa) Tobias Frederico (Instituto Tecnologico de Aeronautica)

### Presentation materials

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