Calculating the Maximum Kinetic Energy of pions

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SUMMARY

The maximum kinetic energy of pions resulting from the decay of a kaon at rest is calculated using the rest energy values provided. The rest energies for pions are π- 140 MeV, π0 135 MeV, and π+ 140 MeV, while the rest energies for kaons are K- 494 MeV, K0 498 MeV, and K+ 494 MeV. The initial calculation of 79 MeV is incorrect; the correct maximum kinetic energy is 74 MeV as stated in the reference book. The discrepancy arises from not accounting for charge conservation in the decay equation K+ → π0 + π- + π+.

PREREQUISITES
  • Understanding of particle physics, specifically decay processes.
  • Familiarity with rest energy calculations in relativistic physics.
  • Knowledge of conservation laws, including charge conservation.
  • Ability to interpret and use energy values from particle physics tables.
NEXT STEPS
  • Review the principles of particle decay and conservation laws in physics.
  • Study the concept of rest energy and its calculation in relativistic contexts.
  • Learn about the decay modes of kaons and their resulting particles.
  • Explore examples of energy calculations in particle physics to solidify understanding.
USEFUL FOR

Students studying particle physics, educators teaching decay processes, and anyone interested in the energy dynamics of subatomic particles.

Kashif Iqbal
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Homework Statement


The problem is to Use the rest energy values in table 1 to calculate the maximum kinetic energy of the pions assuming the kaon is at rest before it decays.

Rest Energies of pions are π- 140, π0 135 and π+ 140.
Rest energies of kaons K- 494, K0 498 K+ 494

Homework Equations


K+---> π0 + π- + π+

The Attempt at a Solution



494-(140+140+135) = 79MeV

In the book it says answer is 74MeV[/B]
 
Physics news on Phys.org
Hello kashif, :welcome:

There is something wrong with your relevant equation: what about charge in your decay mode ?
 

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