Particle Physics - decay of a neutral pion

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SUMMARY

The discussion focuses on the decay of a neutral pion with a momentum of 10 GeV/c into two photons. The rest energy of the neutral pion is established as 135 MeV/c². The conservation of energy equation is applied, leading to the calculation of the minimum energy of a photon as 5.068 MeV, assuming equal energy distribution. However, it is emphasized that this assumption may not hold true in the lab frame, suggesting the need to analyze the decay from the pion's rest frame for accurate energy distribution.

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  • Understanding of particle physics concepts, specifically pion decay.
  • Familiarity with energy conservation principles in particle interactions.
  • Knowledge of relativistic energy-momentum relation, E² = p²c² + m²c⁴.
  • Basic understanding of reference frames in physics, particularly rest frames.
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  • Explore the implications of the energy-momentum relation in particle decay scenarios.
  • Study the concept of reference frames in particle physics, focusing on lab vs. rest frames.
  • Investigate photon energy distribution in decay processes beyond equal sharing.
  • Learn about the experimental methods used to measure pion decay and photon energies.
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Students and researchers in particle physics, particularly those studying decay processes and energy conservation in high-energy physics experiments.

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Particle Physics -- decay of a neutral pion

Homework Statement



Consider the decay of a neutral pion that has a momentum of 10 GeV/c into two photons. What is the minimum energy that a photon from this decay can have? In terms of the pion mass and pion momentum. What about Maximum Energy too?

Homework Equations



E^2= p^2 c^2 + m^2 c^4
and Rest energy of neutral pion is 135 MeV/c2


The Attempt at a Solution



Think it would start out as energy conservation like
E(before)= E(after)
E(pion)= E(photon) + E(photon)
γmpionc^2= 2Ephoton
10,135 MeV= 2Ephoton
5,068 MeV= Ephoton
 
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You're assuming the energy is split evenly between the two photons, but that's not generally the case in the lab frame.

Try considering what happens in the pion's rest frame. In what direction does a photon have to move so that it will have the most energy in the lab frame?
 

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