Feynman diagram; ##\pi^0+\pi^0\rightarrow \pi^++\pi^-##

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SUMMARY

The discussion focuses on the Feynman diagrams for the reaction ##\pi^0+\pi^0\rightarrow \pi^++\pi^-##, specifically how to represent interactions via gluon, photon, and W-Boson exchanges. The dominant contribution to this reaction is through the weak interaction mediated by the W-Boson. The confusion regarding the composition of the neutral pion, whether to use $d\bar{d}$ or $u\bar{u}$, is addressed, confirming that either can be used for the analysis. Additionally, the role of the electromagnetic force on neutral particles like the ##\pi^0## is highlighted.

PREREQUISITES
  • Understanding of Feynman diagrams
  • Knowledge of particle physics, specifically meson composition
  • Familiarity with the weak and electromagnetic forces
  • Basic grasp of quantum field theory concepts
NEXT STEPS
  • Study the construction and interpretation of Feynman diagrams in quantum field theory
  • Research the properties and interactions of neutral pions (##\pi^0##)
  • Learn about the roles of gluons, photons, and W-Bosons in particle interactions
  • Explore the implications of the electromagnetic force on neutral particles
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Students and enthusiasts of particle physics, particularly those studying quantum field theory and Feynman diagrams, as well as educators looking to clarify the interactions of mesons in particle reactions.

pondzo
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Homework Statement



For the reaction below draw three Feynman diagrams, one that proceeds through
exchange of a gluon, one through a photon and one exchanging a weak W-Boson.

##\pi^0+\pi^0\rightarrow \pi^++\pi^-##

Which diagram provides the dominant contribution for this reaction?
Explain how the electromagnetic force can work on an electrically neutral particle like the ##\pi^0##.

Homework Equations

The Attempt at a Solution



First of all I'm confused by the composition of the $\pi^0$ meson, do I use $d\bar{d}$ or $u\bar{u}$? I would think that for one neutral pion I use $d\bar{d}$ and the other I use $u\bar{u}$ since this gives the constituent quarks for the products. But then I have no idea how to begin drawing the interaction and how the virtual particle changes the diagram. I apologise since I am very new to Feynman diagrams. Here is an attempt for the W boson:

Neutral pion interaction.png
 
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pondzo said:
First of all I'm confused by the composition of the $\pi^0$ meson, do I use $d\bar{d}$ or $u\bar{u}$?
You can use either.

The W diagram is fine (what is that to the upper right of the "W"?).
 

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