1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted