Calculating Particle Decay in a Magnetic Field

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SUMMARY

The discussion focuses on calculating the properties of charged pions resulting from the decay of an uncharged meson in a magnetic field. Key formulas include the relationship between pion momentum, radius of the path, and magnetic field strength. The energy of the pions can be derived from their momentum and mass, leading to the determination of their velocity. Finally, the mass of the meson can be calculated using the equation M²=(E₁+E₂)²-({\vec p}₁+{\vec p}₂)², which requires knowledge of the angle between the momenta of the two pions.

PREREQUISITES
  • Understanding of particle physics concepts, specifically meson and pion properties.
  • Familiarity with the equations of motion in a magnetic field.
  • Knowledge of relativistic energy-momentum relationships.
  • Basic proficiency in vector mathematics for momentum calculations.
NEXT STEPS
  • Study the derivation of momentum in a magnetic field using the Lorentz force equation.
  • Learn about relativistic energy equations and their applications in particle decay.
  • Explore the implications of angular momentum conservation in particle interactions.
  • Investigate experimental methods for measuring meson decay products and their properties.
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Physicists, students in particle physics, and researchers interested in meson decay processes and magnetic field interactions.

mt948434
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hello everybody I am new too these forums and am looking for a little help on a problem. I don't want anyone to give me the answer so i will just post the basic question and any help would be appreciated.

If an uncharged meson decays into two charged pions in the presence of a magnetic field. If the mass of a pion, magnitude of the magnetic field and the radius of the pions path are all known, I need to find the pions momenta and speed, as well as the mass of the meson.

thanks for any help!
 
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1. There is a formula for the pion's momentum in terms of the radius and B.
2. Given the pion momentum, and knowing its mass, use the formula for the pion energy.
3. From p and E, you can find the pion velocity.
4. To get the meson's mass, you have to know the original angle between the two pions momenta. Then use [tex]M^2=(E_1+E_2)^2-({\vec p}_1+{\vec p}_2)^2[/tex].
 
thanks a lot for your help
 

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