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

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venomxx
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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?