Simple question regarding annihilaion

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Discussion Overview

The discussion revolves around the energy released during the annihilation of proton-antiproton pairs, particularly focusing on how energy levels affect the total energy output. Participants explore the implications of annihilation at different energy levels, including the concept of center of mass (c.m.) energy and its relation to the rest mass energy of the particles involved.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether annihilating proton-antiproton pairs at 4 GeV would yield double the energy compared to annihilation at 2 GeV.
  • Another participant explains the calculation of energy in the center of mass system, noting the relationship between energy and momentum.
  • A participant reiterates the initial question about energy release at rest and clarifies that annihilation at rest yields energy equivalent to twice the rest mass energy of the particles.
  • There is a request for simpler explanations, indicating that some participants may not fully grasp the technical details of the c.m. system.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the technical aspects of annihilation energy, with some seeking clarification on concepts like the center of mass system. The discussion does not reach a consensus on the implications of annihilation at different energy levels.

Contextual Notes

Limitations include the assumption that annihilation occurs at rest and the dependence on the definitions of energy in different frames of reference. The discussion also highlights the complexity of energy-momentum relationships without resolving these complexities.

Who May Find This Useful

Readers interested in particle physics, energy interactions, and those seeking clarification on annihilation processes may find this discussion relevant.

humsafar
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if annihilation of particles(let's say proton-antiproton) releases x energy at 2 giga electron volts, then if we annihilate it at let's say 4 GeV, would we be getting double the energy?

also, i have seen the wikipedia page of annihilation of proton and antiproton which mentions the energy levels at 2 GeV but does not mention released energy at rest "clearly"...please help
 
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The calculation is simplified in the c.m. system; proton and anti-proton have energy-momentum (E, p) and (E, -p). The sum ist (2E, 0), so 2E is the c.o.m energy. Of course E and p are related via E² - p² = m² where m is the rst mass m=938 MeV.
 


humsafar said:
if annihilation of particles(let's say proton-antiproton) releases x energy at 2 giga electron volts, then if we annihilate it at let's say 4 GeV, would we be getting double the energy?

also, i have seen the wikipedia page of annihilation of proton and antiproton which mentions the energy levels at 2 GeV but does not mention released energy at rest "clearly"...please help

If one could cause an annihilation with both particles at rest, the result is simply twice the rest mass energy (2*938 MeV ~2 GeV). However experimentally you send two streams of particles at some velocity toward each other, so the momentum at annihilation is not zero (rest momentum) and contributes to the total energy.
 
Thanks for the answers...but please try to explain in layman terms...I'm not a physicist by profession here...just doing my b.s in Computer science...I don't get the c.m system...
 

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