Is there a representation diagram for fermions like the 8 fold way for mesons?

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Discussion Overview

The discussion revolves around the existence of representation diagrams for fermions, akin to the 8-fold way representation used for mesons. Participants explore the applicability of such diagrams to different categories of fermions, including quarks and baryons.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether there is a representation diagram for fermions similar to the 8-fold way for mesons.
  • Another participant asserts that there is no direct equivalent but suggests that if the focus is on baryons, there exists a decouplet that resembles the 8-fold way.
  • A later reply mentions the existence of triangle-diagrams for the fundamental triplet representations of quarks and antiquarks under SU(3), along with baryon octet and decuplet diagrams.
  • It is noted that the complexity increases with the number of flavors beyond three, indicating a potential for more intricate representations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence of a direct representation diagram for fermions akin to the 8-fold way for mesons, with some suggesting alternatives and others indicating limitations based on the type of fermions discussed.

Contextual Notes

There are assumptions regarding the number of flavors being discussed, particularly the distinction between three and four flavors, which may affect the applicability of the proposed diagrams.

roberto85
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I was wondering if there was something similar to the 8 fold way representation used on mesons for the fermions?
 
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Well... no.
What did you have in mind?

But then - "fermions" is such a large group, including quarks and leptons.
If you just mean baryons ("the other hadrons"), then there's a decouplet which is kinda like the eight-fold way for mesons.
 
of course

there is are two triangle-diagrams for the two fundamental triplet (quark and antiquark) representations of SU(3) http://universe-review.ca/I15-38-8foldway.jpg

and there are the baryon octet and decuplet diagrams http://en.wikipedia.org/wiki/Eightfold_Way_(physics )

assuming you are talking about 3 flavours, otherwise it becomes more complex (e.g. for 4 flavours) http://static.wix.com/media/d3fcbc01ff7f7e88aceb6487fcd99333.wix_mp
 
Last edited by a moderator:
tom.stoer said:
of course

there is are two triangle-diagrams for the two fundamental triplet (quark and antiquark) representations of SU(3) http://universe-review.ca/I15-38-8foldway.jpg

and there are the baryon octet and decuplet diagrams http://en.wikipedia.org/wiki/Eightfold_Way_(physics )

assuming you are talking about 3 flavours, otherwise it becomes more complex (e.g. for 4 flavours) http://static.wix.com/media/d3fcbc01ff7f7e88aceb6487fcd99333.wix_mp


Brilliant, thanks for the links.
 
Last edited by a moderator:

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