Photon energy threshold for γ+p→p+π, question *interpretation*

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SUMMARY

The discussion focuses on calculating the photon energy threshold for the reaction γ + p → p + π, where the initial proton is stationary. Participants clarify that the term "photon energy threshold" refers to the minimum energy required for the photon to initiate the reaction. Key concepts include the rest mass of the proton (mp ≈ 938 MeV/c²) and the neutral pion (mπ0 ≈ 135 MeV/c²), which are essential for determining the threshold energy using standard special relativity equations.

PREREQUISITES
  • Understanding of special relativity equations
  • Knowledge of particle physics, specifically proton and pion rest masses
  • Familiarity with the concept of threshold energy in particle reactions
  • Basic comprehension of Feynman diagrams and their relevance to particle interactions
NEXT STEPS
  • Research the calculation of threshold energy in particle physics
  • Study the implications of rest mass in energy calculations
  • Learn about Feynman diagrams and their role in understanding particle interactions
  • Explore the differences between center of mass frame and center of momentum frame
USEFUL FOR

Students in particle physics courses, educators teaching special relativity, and anyone interested in understanding photon interactions in high-energy physics.

magiix
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Homework Statement


Calculate the photon energy threshold for the reaction γ + p → p + π. Assume that the initial state proton is stationary.
<thats really it>

Homework Equations


< unknown, but suspects include: standard special relativity equations >
-- other useful relations:
proton rest mass, mp≈938MeV/c2
neutral pion rest mass, mπ0≈135MeV/c2

The Attempt at a Solution


< haven't yet, see below >

Alright so I don't need help solving the problem yet, rather I need help understanding the problem. I admit, I may have missed class the day this was introduced, but I may not have... I'm still learning how to follow this professor. (wonderful person, bit of an accent, clears overheads before I can finish writing down notes, also often uses less-oftenly-used, granted commonly accepted, language ex: center of mass frame vs center of momentum frame. ).

I am not clear on what is meant by the "photon energy threshold". Is this the minimum energy of the photon needed to produce the reaction? or might it have something to do with the reaction carrier photon (think Feynman diagrams). Instead, is it somehow related to QM scattering... I really don't think this is so, I certainly can't see how, but that about covers what we have started so far this quarter.

I realize not many, if any, of you are in my class-- and therefore probably have minimal ideas of what my instructor my want from us. I might ask a fellow student but there are few I really know, and none whom I know how to contact. The index of my textbook makes no reference to "photon energy threshold" or variations there-of. Any, and all, suggestions you have on how to interpret this question will be full-heartedly appreciated and explored. Thank you.
 
Last edited:
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magiix said:
Is this the minimum energy of the photon needed to produce the reaction?

Almost certainly. Ignore the word photon and just look up "threshold energy". From the information you're given it also seems like the most likely thing to calculate.

I can't really make much sense of the other ways you try to interpret the question.
 
hey I am in your class. but I am in the same spot as you on this problem. which is why i found your post.
 
Last edited:
hahaha~! I haven't seen you in class for a few days! I thought you might have dropped out, but when I saw your screen name I knew who you were! I'll send you an email next time !
 

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