Partial decay width in Mathematica

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SUMMARY

The discussion focuses on integrating a partial decay width represented as ## \frac{d \Gamma}{d \cos{\theta}~ dq^2} ## using Mathematica. The user encountered errors while attempting to define the integration limits and variables correctly. A suggested solution involves using the relationship ## d \cos(\theta) = - \sin(\theta) d\theta ## and adjusting the integration limits accordingly. Additionally, expressing the functions in terms of ## \cos(\theta) ## is recommended for clarity and correctness in the integration process.

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Safinaz
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Hi there,

I have a a partial decay width in form of ## \frac{d \Gamma}{d \cos{\theta}~ dq^2} = ## some terms functions in q and ## \theta ## variables.
How to integrate this decay width in Mathematica over this two variables ?

I tried some thing like
j[q_]:= ## \int_{1}^{-1} ## Gam[q, ## \theta ##] d Cos[## \theta ##]

then

## \int_{0}^{10} ## j[q] dq^2

But it gave me errors

Cos[## \theta ##] is not a valid variable.
Integrate::ilim: Invalid integration variable or limit(s) in {q^2,0,10}. >>

I also tried to use NIntegrate..

So any help in that ?

Cheers,
S.
 
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##d \cos(\theta) = - \sin(\theta) d\theta## should help (don't forget the integration limits). Alternatively, express everything in terms of ##\cos(\theta)## and give this a new name.
 

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