Undergrad What particles have fixed weak isospin and T3?

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SUMMARY

The discussion centers on the concept of weak isospin, particularly its fixed values for certain particles and the lack thereof for others, such as pions. It is established that weak isospin is not a conserved quantity due to the electroweak symmetry breaking, especially in interactions involving the Higgs field. The left-handed electrons possess a defined weak isospin value despite having mass, while pions do not, highlighting the conditions under which particles exhibit definite values for weak isospin (T) and its third component (T3).

PREREQUISITES
  • Understanding of weak isospin and its role in particle physics
  • Familiarity with the electroweak theory and symmetry breaking
  • Knowledge of the Higgs mechanism and its implications for particle mass
  • Basic concepts of particle interactions and conservation laws
NEXT STEPS
  • Research the implications of electroweak symmetry breaking on particle properties
  • Study the Higgs field's role in mass generation for fundamental particles
  • Explore specific particle reactions where weak isospin values change
  • Examine the differences in weak isospin assignments between fermions and bosons
USEFUL FOR

This discussion is beneficial for particle physicists, students of theoretical physics, and researchers interested in the electroweak interactions and the properties of fundamental particles.

Gene Naden
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Wikipedia quotes weak isospin values for some particles and not for others. Why? Is the concept of weak isospin as an observable quantity not meaningful for, for example, pions?
 
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Wikipedia article on weak isospin seems to say that in some cases it is not conserved due to interaction with the Higgs field. What would be an example of a particle reaction where this is true?
 
the mass terms
 
what particles you mean?
In general it's not an observable because the electroweak symmetry is broken.
 
(Note -- two similar threads merged)
 
Still wondering what is the reaction
 
Wikipedia gives a value for the weak isospin of left-handed electrons, even though they have mass. But not for pions. So when does a particle have a definite value for T and T3 and when does it not. Thanks.
 

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