Is My Alternative Method for Calculating the Branching Ratio of W -> e-Ve Valid?

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The discussion centers on calculating the branching ratio for the decay process W → e-Ve. The original method suggested involves using Fermi's Golden Rule, while the alternative approach presented utilizes the relationship ΔEΔT = ℏ to derive the branching ratio. The participant proposes that Γ = ΔE/ℏ could yield an approximate value for the branching ratio, seeking validation for this method. The consensus indicates that while the alternative method may provide insights, it lacks the rigor of established techniques like Fermi's Golden Rule.

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Homework Statement


Work out the branching ratio of (W --> e-Ve)
The book uses fermi's golden rule to do it, but I am wondering if my different solution is also valid?


Homework Equations



Γ = 1/τ and ΔEΔT = hbar

The Attempt at a Solution



If ΔEΔT = hbar, then i can write ΔT = hbar/ΔE


Therefore Γ = 1/ΔT = ΔE/hbar should give me an approximate value of the branching ratio...

Can anyone tell me if this is a valid approach to find the branching ratio for a particle decay? If not please let me know of any easy way to do it, I am sure there is one i just can't find it!
 
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is there any reason why this might not have been answered? Phrasing\clarity? content?
 

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