Calculating the Excited State Lifetime of 223Ra Nucleus

phyguy321
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Homework Statement


the nucleus of 227Th decays to 223Ra and \alpha. the daughter nucleus is left in a short lived excited state and decays down to the ground state with the emission of an 80 keV gamma ray. the natural line width of this gamma ray is .6 keV. what is the lifetime of the excited state of the 223Ra nucleus?


Homework Equations


\DeltaE \Deltat = \hbar/2 where \Deltat is the lifetime \tau


The Attempt at a Solution


can i just solve for \Deltat as the lifetime of the excited state? letting \DeltaE = 80 keV? I am not sure what to do with the line width, it's not in my book anywhere.
 
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The 80 keV photon isn't the thing that determines the lifetime of the state. Check this out and see if it doesn't clear things up.

http://www.mwit.ac.th/~Physicslab/hbase/quantum/parlif.html
 
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so the .6 keV is our uncertainty energy?
so \Deltat =hbar/2E
 

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