Particle Collision: Calculate Photon Wavelength

Click For Summary
SUMMARY

The discussion centers on calculating the wavelength of photons produced from the decay of a stationary \(\pi^\circ\) meson, which has a rest mass of 135 MeV/c². The relevant equations include \(E = hf\) and \(\lambda = \frac{hc}{E}\). The energy of the meson is determined using \(E = mc^2\), yielding an energy of 135 MeV. This energy is then used to calculate the wavelength of the resulting gamma ray photons.

PREREQUISITES
  • Understanding of particle physics concepts, specifically mesons and photon decay.
  • Familiarity with the equation \(E = mc^2\) for energy-mass equivalence.
  • Knowledge of Planck's constant (h) and its role in photon energy calculations.
  • Basic grasp of wavelength calculations using \(\lambda = \frac{hc}{E}\).
NEXT STEPS
  • Study the derivation and applications of the equation \(E = hf\) in photon energy calculations.
  • Learn about the properties and behaviors of gamma rays in particle physics.
  • Explore the concept of particle decay and its implications in high-energy physics experiments.
  • Investigate the use of particle detectors in observing collision results and decay products.
USEFUL FOR

Students in physics, particularly those studying particle physics, as well as educators and researchers interested in photon behavior and particle decay processes.

Air
Messages
202
Reaction score
0

Homework Statement


The results of particle collisions are observed using particle detectors. Sometimes the products of these collisions are themselves unstable and decay to give further particles; the products of decay can be photons.

In one collision, a stationary [itex]\pi^\circ[/itex] meson is produced which then decays to give two gamma ray photons. The rest mass of the meson is [itex]135 \ MeV/c^2[/itex].

[itex]\pi ^\circ \rightarrow \beta + \beta[/itex]​

Calculate the wavelength of each photon.

Homework Equations


[itex]E = hf = \frac{hc}{\lambda}[/itex]

The Attempt at a Solution


How can I find [itex]E[/itex]? I can carry on from that point but I don't know which equation to use to find [itex]E[/itex]?
 
Last edited:
Physics news on Phys.org
The energy of the stationary meson is calculated using E = mc2

Epi = mpi*c2 = 135 MeV / c2 * c2 = 135 MeV
 
Last edited:

Similar threads

Elastic collision with particles, find the kinetic energy
  • · Replies 6 ·
Replies
6
Views
4K
Wave Particle Duality For Electrons and Photons
  • · Replies 2 ·
Replies
2
Views
2K
How to calculate gamma ray energies following beta decay?
  • · Replies 12 ·
Replies
12
Views
2K
Collision Angle for Two Particles with Constant Velocity and Acceleration
  • · Replies 3 ·
Replies
3
Views
2K
Energy and charged particle collisions
  • · Replies 4 ·
Replies
4
Views
1K
What is the relationship between energy and mass in a two-particle collision?
  • · Replies 3 ·
Replies
3
Views
2K
What is the energy of the alpha particle and recoiling nucleus?
  • · Replies 9 ·
Replies
9
Views
6K
Kinetic Energy of Colliding Protons
  • · Replies 54 ·
2
Replies
54
Views
11K
How can I calculate the rate of energy absorption from nuclear decay?
  • · Replies 23 ·
Replies
23
Views
3K
Ultra-Relativistic Particle Decaying to Identical Particles
  • · Replies 1 ·
Replies
1
Views
2K