Annihilation of two particles / Rest mass energy

In summary, the conversation discusses the minimum energy of radiation resulting from the annihilation of two particles and how the kinetic energy of the particles factors into this energy. It is confirmed that the energy in equals the energy out, and therefore the kinetic energy of the particles contributes to the resulting radiation. Momentum must also be conserved in this process.
  • #1
physics369
11
0
I haven't used the template because I just need some reassurance on understanding a topic, not help with a question!

When two particles annihilate (e.g. proton and antiproton), the resulting radiation will have a minimum energy of the sum of the rest mass energies of the two particles, right? But how does the kinetic energy of the particles factor in? Does the energy of the resulting radiation, or in this case, photons, equal the rest mass energies of the proton and antiproton PLUS the the kinetic energies of both particles?

Like this:

hfmin = E0 + KE

?!
 
Physics news on Phys.org
  • #2
Yes, energy in equals energy out. So kinetic energy going in also goes into the radiation.
 
  • #3
Dick said:
Yes, energy in equals energy out. So kinetic energy going in also goes into the radiation.

Also momentum must be conserved. Work out the resulting photon energies. :smile:
 

Related to Annihilation of two particles / Rest mass energy

What is the concept of annihilation of two particles?

Annihilation of two particles refers to the process in which two particles collide and are converted into energy. This process can occur between particles of matter and antimatter, or between particles of the same type, resulting in the release of a significant amount of energy.

How is rest mass energy related to annihilation of two particles?

Rest mass energy is the energy contained within a particle at rest. When two particles collide and undergo annihilation, their rest mass energy is converted into other forms of energy, such as kinetic energy, electromagnetic radiation, or potential energy.

What is the equation for calculating the energy released during annihilation?

The equation is E = mc^2, where E is the energy released, m is the combined rest mass of the particles, and c is the speed of light. This equation is known as the mass-energy equivalence formula and was derived by Albert Einstein.

Can annihilation of two particles occur spontaneously?

No, annihilation of two particles requires the particles to come into contact and collide with each other. This process cannot occur spontaneously and must be initiated by an external force, such as in a particle accelerator.

What are the potential applications of annihilation of two particles?

The energy released during annihilation can be harnessed for various applications, such as in nuclear power plants, medical imaging and cancer treatment, and in the production of antimatter for research purposes. It is also a fundamental process in understanding the behavior of particles in the universe.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
939
  • Introductory Physics Homework Help
Replies
28
Views
865
  • Introductory Physics Homework Help
2
Replies
54
Views
8K
  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Special and General Relativity
3
Replies
102
Views
4K
  • Introductory Physics Homework Help
Replies
15
Views
342
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
954
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top