SR: Gamma rays creating election-positron pair

In summary, the conversation discusses a special relativity question involving the creation of a positron-electron pair from colliding gamma rays at a specific angle. It is shown that this pair creation is impossible when the angle between the velocities of the gamma rays is 0. The conversation also considers the possibility of this creation occurring at other angles if the energy of the gamma rays is greater than the electron rest mass, but concludes that it would violate the conservation of momentum. The minimum angle required for pair creation is also discussed.
  • #1
villiami
27
0

Homework Statement



This is a special relativity question: Two gamma rays of identical energies E collide with an angle [tex]\theta[/tex] between their velocities. Show that positron-electron pair creation is impossible in the limiting case [tex]\theta[/tex]=0.

Find the minimum [tex]\theta[/tex] value for p-e creation to the possible.

The Attempt at a Solution


Stuck! If E is greater than election rest mass, can't it happen at any angle?
 
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  • #2
Is it possibly that: with photons, there are no frames in which momentum=0.
If the p-e pair were produced, there will then be a frame in which momentum=0 (which previously had non-zero momentum photons).
Thus mom is not conserved?
 

1. What are gamma rays?

Gamma rays are a type of electromagnetic radiation that has high energy and short wavelengths. They are most commonly produced by nuclear reactions and are the most energetic form of light.

2. How are gamma rays created?

Gamma rays are created through processes such as nuclear decay, nuclear fusion, and radioactive decay. They can also be created through high-energy events in outer space, such as supernovas.

3. How do gamma rays create electron-positron pairs?

When a gamma ray passes through a strong electric field, it can convert into an electron and a positron (its antiparticle). This process is known as pair production and requires a minimum energy of 1.022 MeV.

4. What is the significance of electron-positron pairs in gamma ray production?

Electron-positron pairs play a crucial role in understanding the behavior of gamma rays. The production of these pairs can help scientists determine the energy and direction of the original gamma ray, providing valuable information about the source of the gamma ray.

5. How are gamma rays and electron-positron pairs studied in scientific research?

Scientists use various methods to study gamma rays and electron-positron pairs, such as gamma-ray telescopes, particle accelerators, and detectors. These tools help scientists better understand the properties and behavior of these high-energy particles.

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