Particle-antiparticle annihilation and spin

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Discussion Overview

The discussion revolves around particle-antiparticle annihilation, specifically focusing on the implications of spin states in processes such as electron-positron and proton-antiproton annihilation. Participants explore theoretical aspects, conservation laws, and specific cases like positronium, examining how these factors influence annihilation outcomes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that the spin of the whole system must be conserved during annihilation, leading to the conclusion that particle-antiparticle pairs can annihilate into two photons with net spin zero.
  • Others discuss the behavior of positronium, noting that the spin 0 state annihilates faster than the spin 1 state, which requires annihilation into three photons.
  • A participant questions why the spin 0 positronium state cannot decay into two photons with spins +1 and -1, suggesting this would still conserve spin.
  • There is a challenge regarding whether the spin 1 state can decay in stages, potentially transitioning to a spin 0 state before annihilating into two photons.
  • Some participants express uncertainty about the conservation of spin versus total angular momentum, leading to differing interpretations of quantum mechanics principles.
  • Charge conjugation invariance is introduced as a factor, with one participant explaining that positronium of spin 0 can decay into two photons due to its C-parity, while spin 1 cannot.

Areas of Agreement / Disagreement

Participants express differing views on the specifics of spin conservation and the conditions under which positronium states can decay into photons. There is no consensus on the implications of these conservation laws or the mechanics of annihilation processes.

Contextual Notes

Some discussions involve assumptions about quantum mechanics principles, such as charge conjugation invariance and the nature of spin conservation, which remain unresolved and are subject to interpretation.

Nicky
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I have a question regarding particle-antiparticle annihilation, such as electron-positron, proton-antiproton, etc. Can the annihilation still occur if the two particles are in opposite spin eigenstates, i.e. if the pair has zero net spin?
 
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The spin of the whole system has to be conserved.

The particle and the antiparticle will annihilate into two photons. Because of spin conservation (one photon has spin of 1 and particle antiparticle has in your sense net spin of 0). You see? Two photons also with net spin zero.
 
For positronium (electron-positron bound state), the state with total spin 0 annihilates much faster than the state with spin 1, because the spin 1 state must annihilate into three photons, with 1+1+1=1.
Incidentally, the two particles are NOT in opposite spin eigenstates.
If they are in an eigenstate of total spin (1 or 0), the individual particles can not be in spin eigenstates.
 
Sorry, I'm missing something very obvious that I do know, but can't put my finger on right now (note to self - drinking heavily the night before doing Physics doesn't work...). Why can't the spin 0 positronium state decay to two photons with spin +1, -1 respectivaly? That conserves the spin surely?
 
James - who said it doesn't?
 
Meir Achuz said:
For positronium (electron-positron bound state), the state with total spin 0 annihilates much faster than the state with spin 1, because the spin 1 state must annihilate into three photons, with 1+1+1=1.

Does the spin 1 state decay in two stages? Maybe spin 1 positronium -> spin 0 positronium + photon, then spin 0 positronium -> two photons?
 
Kruger said:
The spin of the whole system has to be conserved.

The particle and the antiparticle will annihilate into two photons. Because of spin conservation (one photon has spin of 1 and particle antiparticle has in your sense net spin of 0). You see? Two photons also with net spin zero.

Can u prove it?

Meir Achuz said:
For positronium (electron-positron bound state), the state with total spin 0 annihilates much faster than the state with spin 1, because the spin 1 state must annihilate into three photons, with 1+1+1=1.

Why?

juvenal said:
James - who said it doesn't?

Umm,Quantum Mechanics...? :rolleyes:

Daniel.
 
Can u prove it?

hehe. No. You learned me that spin has not to be conserved. Only total angular momentum has to be conserved.
 
oh oh, this is a dangerous one


drop it like it's hot...

marlon
 
  • #10
dextercioby said:
Umm,Quantum Mechanics...? :rolleyes:

Daniel.

Maybe you're misunderstanding my point, and I'm not sure why you are since it's pretty explicit.

You're saying that spin 0 positronium CANNOT decay to two photons? That is what I'm referring to.

If so, I beg to differ:

http://rockpile.phys.virginia.edu/mmod27.pdf

Bottom of page 3. (Further up may lie the answer to your inquiry of Meir Achuz's post).
 
Last edited by a moderator:
  • #11
I didn't say that,i missinterpreted your question,since you simply asked it without quoting what in James Jackson's post you were referring to.

Daniel.
 
  • #12
So far we have left out charge conjugation invariance, which was tacitly assumed in my original answer. Photons have C=-1. Positronium of spin 0 has C=+1, and so can decay into two photons. Positronium of spin 1 has C=-1, and cannot decay into two photons. Three is the next lowest number. If this leads to more questions, I will try to answer them as asked.
 

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