Why is weak force short range action?

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SUMMARY

The weak force is short-range due to the large mass of W quanta, as explained in B. Schumm's book, "Deep Down Things." The de Broglie wavelength relation, λ = h/p, yields a wavelength of approximately 10-18 m for W quanta, indicating their limited range of action. It is crucial to note that the relevant concept is the Compton wavelength, ħ/mc, which does not depend on momentum and is calculated to be between 10-15 and 10-16 cm for W mesons. This distinction clarifies the misunderstanding regarding the application of de Broglie's equation in particle physics.

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  • Understanding of particle physics concepts, specifically the weak force
  • Familiarity with the de Broglie wavelength and its relation to momentum
  • Knowledge of Compton wavelength and its significance in quantum mechanics
  • Basic grasp of quantum field theory and particle interactions
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  • Study the Compton wavelength and its implications in particle physics
  • Explore the properties and interactions of W bosons in the Standard Model
  • Investigate the differences between de Broglie and Compton wavelengths
  • Read "Deep Down Things" by B. Schumm for a comprehensive introduction to particle physics
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AlephClo
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In Deep Down Things, an excellent book of B Schumm, at page 288, he explains that the weak force is short range because the Weak quanta have a large mass. Using de Broglie wavelength relation:
Lamda = h / p, he gets a wavelength of 10 ** -18 m, and he concludes that this is the W quanta range of action. My understanding of de Broglie wavelength is that any object has a wavelength, and its span varies with the momentum. So, a baseball would have a very short wavelength, but nothing prevent us to throw the ball at many meters.

So, what prevents the W quanta to travel long distance? Or what do I miss interprete about de Broglie wavelength? Is the physics particle context different for de Broglie's equation?

Thank you
 
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It's not the de Broglie wavelength that's involved here, it's the Compton wavelength. If he says de Broglie, he's wrong. The Compton wavelength ħ/mc does not depend on the momentum.

For a W meson one can calculate ħ/mc = ħc/mc2 = (200 MeV-f)/80 GeV ≈ between 10-15 and 10-16 cm.
 
He does refer to de Broglie, probably for simplification purpose. The book is a great intro to particle physics.
I will read more on Compton wavelength. Ignorance is our worst enemy
Thank you Bill for your time and quick response :-)
 

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