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Related Experiment Video

Updated: May 12, 2026

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

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Published on: August 18, 2017

Imaging dynamical chiral-symmetry breaking: pion wave function on the light front.

Lei Chang¹, I C Cloët, J J Cobos-Martinez

¹Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review Letters

|April 16, 2013

Summary

Researchers studied the pion

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Area of Science:

Quantum Chromodynamics
Particle Physics

Background:

The pion's wave function is crucial for understanding its properties.
Dyson-Schwinger equations are a key tool in quantum chromodynamics.
Dynamical chiral symmetry breaking influences hadron properties.

Purpose of the Study:

To compute the pion's Poincaré-covariant Bethe-Salpeter wave function.
To analyze the impact of different Dyson-Schwinger equation kernel approximations.
To investigate the role of dynamical chiral symmetry breaking.

Main Methods:

Projecting the Bethe-Salpeter wave function onto the light front.
Utilizing two distinct approximations for quantum chromodynamics' Dyson-Schwinger equation kernels.
Analyzing the resulting wave function's shape and width at an hadronic scale.

Main Results:

Computed wave functions are concave and broader than the asymptotic distribution amplitude.
The integral of the computed wave function over the asymptotic one was 1.8 and 1.5 for the two kernels.
Dynamical chiral symmetry breaking was identified as a hardening factor, independent of the kernels used.

Conclusions:

The pion's wave function is significantly broader than predicted by asymptotic behavior.
Dynamical chiral symmetry breaking plays a crucial role in shaping the pion amplitude.
The chosen approximations for Dyson-Schwinger equation kernels impact the computed wave function's width.