Threshold energy of a photoproduction

  • Thread starter kknull
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  • #1
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hi,
I have the reaction:

(photon) + (proton) ---> (neutron) + (pion+)

I have to find the minimum energy of the photon.
A first condition can be that total energy of photon and proton has to be at least the mass energy of the output, but I don't think this can be a satisfying solution...

When I try to include quadrimomentum conservation, calculus becomes very complex and I cannot find a solution...
Suggestions?

Thanks.
 

Answers and Replies

  • #2
malawi_glenn
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what is "quadrimomentum " ?

Hint: work in center of mass frame -> what is the threshold condition for the final state?
 
  • #3
George Jones
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what is "quadrimomentum " ?

4-momentum, I suspect. :smile:
 
  • #4
malawi_glenn
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4-momentum, I suspect. :smile:

yeah, I also suspected that hehe

OP: search for "invariant mass", that is all you need, that quantity is both lorentz invariant and conserved. Also look at the hint I gave you earlier.
 
  • #5
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yeah, It is 4-momentum
I have tried both in lab and in center of mass frame, but it is too much complex...
 
  • #6
malawi_glenn
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yeah, It is 4-momentum
I have tried both in lab and in center of mass frame, but it is too much complex...

This is infact a super easy task, can you show work done?

Can you try to answer my hint-question, "what is the threshold condition for the final state?"
 

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