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 involves Fermi's golden rule, while the alternative approach proposed uses the relationship ΔEΔT = hbar to derive an expression for the decay width Γ. The user seeks validation for this alternative method and expresses uncertainty about its correctness. There is also a request for simpler methods to calculate the branching ratio if the proposed approach is not valid. The conversation highlights the need for clarity in phrasing and content to facilitate better responses.
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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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