Annihilation and potential energy?

In summary, the energy released when matter and antimatter annihilate is the sum of all their potential energy.
  • #1
Quantumcorral
3
0
Sorry, brand new here and this may be in the wrong place or very obvious. When matter and antimatter annihilate is the energy released the sum of all their potential energy? does E=MC2 only work because of the specifics of our universe, and if the universe were to contain more matter (and therefore gravitation) a given unit of mass would release more energy upon annihilation?
 
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  • #2
Which potential energy?

The released energy is the total energy (mass, kinetic energy, binding energy, ...) of the annihilation partners in their center of energy frame. Potential energies relative to something else do not count - the final products are created at the same position, you don't lose or gain anything there.

and if the universe were to contain more matter (and therefore gravitation) a given unit of mass would release more energy upon annihilation?
No.
 
  • #3
but the sum of the mass of the products is lower than the ingredients, so hasn't gravitational potential energy been lost? on a smaller scale is this not also the case with fusion/fission, gravitational potential energy must have been lost, or am I missing something?
 
  • #4
Quantumcorral said:
but the sum of the mass of the products is lower than the ingredients, so hasn't gravitational potential energy been lost?
No, potential energy is not involved at all. What happens is that part of the rest mass of the ingredients is turned into kinetic energy of the products.
 
  • #5
Quantumcorral said:
but the sum of the mass of the products is lower than the ingredients, so hasn't gravitational potential energy been lost? on a smaller scale is this not also the case with fusion/fission, gravitational potential energy must have been lost, or am I missing something?
Gravitational potential energy is relevant for energy, and there is no energy lost in the annihilation process.
 
  • #6
mfb said:
Gravitational potential energy is relevant for energy, and there is no energy lost in the annihilation process.

sorry but when an object falls on Earth (or elsewhere) isn't the explanation that it converts its GPE into KE, and so if GPE is relevant for KE the do we have:

GPE of static object when 10km high = GPE of moving object 1km high + KE gained in falling + GPE of gained KE at 1km high?
 
  • #7
Quantumcorral said:
but the sum of the mass of the products is lower than the ingredients, so hasn't gravitational potential energy been lost? on a smaller scale is this not also the case with fusion/fission, gravitational potential energy must have been lost, or am I missing something?
The point is, that when we write that the gravitational potential energy is mgh, what we really mean is that m is not just the rest mass. Gravity attracts all forms of energy, and m is really the total energy divided by c2.

So in the annihilation process, some of the rest mass is converted to kinetic energy but the total energy remains unchanged, and therefore the gravitational potential energy also remains unchanged.
 
  • #8
Well, sometimes potential plays a role in creation/anihillation. For example in Klein's paradox (if you adjust a constant potential to V>E+m you will have creation/anihhilation out of the energy being in the potential).

The graviational energy in particles is at ultra high good approximation negligible.
 

1. What is annihilation?

Annihilation is a process in which particles and their corresponding antiparticles collide and are converted into other forms of energy, such as photons or other particles. This process is governed by the laws of conservation of energy and momentum.

2. How does annihilation occur?

Annihilation occurs when a particle and its antiparticle come into contact and their combined mass is converted into energy. This energy is typically released in the form of photons, which can be detected by instruments.

3. What is potential energy?

Potential energy is a form of energy that is stored in an object or system due to its position or configuration. It is the energy that an object has the potential to release or use in the future.

4. How is potential energy related to annihilation?

In the process of annihilation, the potential energy stored in the particles is released and converted into other forms of energy. This is an example of how potential energy can be converted into other forms of energy through physical processes.

5. What are some real-world examples of annihilation and potential energy?

In particle accelerators, particles are accelerated to high speeds and then collide, resulting in annihilation and the release of potential energy. Another example is nuclear reactions, where the conversion of mass into energy leads to the release of large amounts of potential energy.

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