Attraction and repulsion for identical particles

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Discussion Overview

The discussion centers on the interaction between identical particles mediated by boson exchange, specifically addressing the conditions under which attraction or repulsion occurs based on the spin of the exchanged bosons. The scope includes theoretical considerations and potential explanations for these interactions.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that the exchange of bosons with even integer spin leads to attraction, while odd integer spin results in repulsion, seeking a simple explanation for this phenomenon.
  • One participant mentions that the derivation of these interactions typically involves first-order diagrams and the Born approximation, indicating that the sign of the potential is positive for odd spin and negative for even spin.
  • A participant references the PCT Theorem and historical work by Pauli, expressing hope for a similarly elegant explanation for the attraction-repulsion relationship linked to boson spin.
  • Another participant shares a link to a previous thread, suggesting it may provide relevant insights, though they acknowledge it is a crude approach.
  • There is a comment on the age of the referenced thread, indicating a long gap since the last post.
  • A later reply humorously notes that some participants from the earlier thread are still active in the forum.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and seek clarity on the mechanisms behind the attraction and repulsion of identical particles, indicating that the discussion remains unresolved with multiple perspectives presented.

Contextual Notes

Limitations include the complexity of the arguments presented and the lack of consensus on a simple explanation for the observed phenomena. The discussion also references historical theoretical frameworks without fully resolving their implications.

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I briefly scanned back through old topics in this part of the Physics Forum, and didn't see any that seemed to bring up this exact issue, so...

I have read in several popularizations of physics that the exchange of bosons between a pair of identical particles will cause attraction if the boson has even integer spin, and repulsion if the boson has odd integer spin. Is there any sort of reasonably simple explanation?

[Example: a pair of electrons repel one another under the exchange of spin 1 (odd integer) virtual photons.]
 
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I have never seen an intuitive argument for it. The derivation usually calculates first order diagrams, then reverses Born approximation to obtain an equivalent potential. It can be seen that the potential gets a positive sign for spin 1 (generically, odd) and negative for spin 0. Thus one is repulsive, the other is attractive.
 
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Thanks, arivero.

I know that the PCT Theorem can be proved in a pretty airtight way--though it is not a very simple argument to follow. And around the start of World War II, Pauli showed in a paper (in the Physical Review, if I remember) that certain contradictions would arise if the connection between spin classes (integer vs. half-odd integer in this case) and the exclusion principle were not to hold. I was hoping something similarly elegant might be the case for the attraction vs. repulsion connection to boson spin.

Does the method you speak of work out the same way for higher order diagrams as well?
 
Well, at least a 50% of the participants of the thread are still around.
 

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