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Partial decay width in Mathematica

  1. Feb 20, 2015 #1
    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.
     
  2. jcsd
  3. Feb 20, 2015 #2

    mfb

    User Avatar
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    Staff: Mentor

    ##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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