Particle Decay/4-Momenta Homework Help

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SUMMARY

The discussion revolves around solving a particle physics homework problem involving the rearrangement of equations related to particle decay and four-momenta. The user is attempting to derive the equation Wx^2 = -Q^2 + m^2 + Ep (E-E') - 2kp(k=k') using the given equations and concepts. Key equations mentioned include wx^2 = -Q^2 + mp^2 + 2mpv and M = E - K. The user expresses confusion about how to proceed after reaching a certain point in the calculations.

PREREQUISITES
  • Understanding of particle physics concepts, particularly four-momenta.
  • Familiarity with energy conservation principles in particle collisions.
  • Proficiency in algebraic manipulation of equations.
  • Knowledge of the significance of variables such as Q, m, E, and K in particle physics.
NEXT STEPS
  • Review the derivation of four-momentum equations in particle physics.
  • Study energy transfer calculations in particle collisions.
  • Learn about the implications of conservation laws in particle decay scenarios.
  • Explore examples of similar particle decay problems to reinforce understanding.
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Students studying particle physics, particularly those working on homework related to four-momenta and energy conservation in particle collisions.

Eldara
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Im stuck on the first question of one of my homework sheets. Partly due to me being horrific at particle physics and lack of sleep (yay exam period) i just can't figure out what's happening and just been staring at it for an hour.

Sheet: https://docs.google.com/file/d/0B6FGt5Eo0GHUdmpMbnhsVlU1QzA/edit

Starting with question 1.

If you re arrange (2) you can get

wx^2 = -Q^2 +mp^2 + 2mpv.

Using M = E - K

I can then go to

Wx^2 = -Q^2 + mp^2 + 2v(Ep-Kp)

This is where i hit a wall as it wants me to show

Wx^2 = -Q^2 + m^2 + Ep (E-E') -2kp(k=k')

it then asks me to use (2) again but i already sued that trying to get to the above.

TL;DR I am confused ;(
 
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You can use the same equation more than once, if you like.
Anyway: You need some expression for v. Can you calculate this energy transfer in terms of the energies and momenta given in the problem? What is the energy before the collision, and afterwards?
 

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