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Energy width of ground state neutral pion

  1. Nov 8, 2009 #1
    1. The problem statement, all variables and given/known data

    Most of the particles known in physics are unstable. For example, the lifetime of the neutral pion, [tex]\pi^{0}[/tex], is about 1.0 x [tex]10^{-16}[/tex] s. Its mass is 1.35 x [tex]10^{8}[/tex] [tex]\frac{eV}{c^{2}}[/tex]. What is the energy width of the [tex]\pi^{0}[/tex] in its ground state.


    2. Relevant equations

    [tex]\Delta E[/tex][tex]\Delta t[/tex] = [tex]\frac{h_{bar}}{2}[/tex]

    [tex]E_{n}[/tex]= [tex]\frac{n^{2}h^{2}}{8ml^{2}}[/tex]


    3. The attempt at a solution

    I was thinking of just putting the time into [tex]\Delta E[/tex][tex]\Delta t[/tex] = [tex]\frac{h_{bar}}{2}[/tex] and solving for [tex]\Delta E[/tex] but that seems too easy.


    Could I find the length and of the pion and use [tex]E_{n}[/tex]= [tex]\frac{n^{2}h^{2}}{8ml^{2}}[/tex] ?

    I guess I am a little stumped at the moment.

    BTW: I am not asking for an answer, just guidance.
     
    Last edited: Nov 8, 2009
  2. jcsd
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