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

[venomxx]

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!

 

[venomxx]

is there any reason why this might not have been answered? Phrasing\clarity? content?

 

[kerimek]

I would say that your approach to finding the branching ratio is not entirely valid. While it may give you an approximate value, it is not a precise calculation using the correct formula. Fermi's golden rule is a well-established and accepted method for calculating the branching ratio in particle decays. It takes into account the specific properties and interactions of the particles involved, whereas your approach is more of a general calculation based on fundamental principles.

That being said, it is always good to question and explore different methods and approaches in science. I would suggest researching and understanding the limitations and assumptions of your approach, and perhaps comparing it to other methods to see how they differ in their results. This can lead to a better understanding and appreciation of the concepts involved.