Feynman diagram of secondary Sigma plus decay

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Discussion Overview

The discussion centers around the Feynman diagram for the decay of the Sigma plus baryon into a positive pion and a neutron, with comparisons to its decay into a neutral pion and a proton. Participants explore the mechanisms involved in these decays and the branching fractions associated with them.

Discussion Character

  • Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant requests a description of the Feynman diagram for Sigma plus decay, noting concerns about the creation of down quarks.
  • Another participant suggests that the decay can involve a photon/gluon for quark pair creation and discusses the possibility of flavor-changing neutral currents (FCNC) at loop level.
  • A different participant argues against the need for FCNC loops by referencing the branching fractions (BF's) for the decays, stating that they are equal for the two decay modes.
  • One participant corrects the previous claim about the branching fractions, indicating they are actually 52/48, and questions the relevance of the angles associated with the decays.
  • Another participant points out that the masses of the neutron and proton, as well as the pions, are not identical, which may influence the decay dynamics.

Areas of Agreement / Disagreement

Participants express differing views on the mechanisms of decay and the implications of branching fractions, with no consensus reached on the significance of the mass differences or the role of FCNC processes.

Contextual Notes

There are unresolved assumptions regarding the decay mechanisms and the implications of the branching fractions, as well as the potential influence of mass differences on the decay processes.

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Can someone describe the Feynman diagram for the Sigma plus decay to a positive pion and a neutron? I'm fine with the primary decay to the neutral pion and a proton. There appears to be insufficient down quarks created.
 
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uus > ud~ u d d

Well one d d~ set can be made with a photon/gluon, while the s-> d can be a loop-level FCNC.

OR

uus : s---u
uus : u---d
via a W exchange, and the d dbar pair is made with a photon/gluon emission.
 
Look at the BF's - they are equal for p pi0 and n pi+, so we're not talking about FCNC loops.

You have uus --> uud + ddbar (p pi0)
and uus --> udd + udbar (n pi+)

This is just a rearrangement, which explains their equality.
 
Thanks guys. The BF's are actually not 50/50 but 52/48. Why should they be slightly different? Does the fact that alpha for p pi0 (36 deg) and for n pi+ (167 deg) relevant for this? Appreciate your comments.
 
The masses aren't identical for n and p, nor pi+ and pi0.
 

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