Why does the proton have no excited states?

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SUMMARY

The discussion centers on the absence of excited states of the proton, specifically addressing the \Delta^{+} baryon and its decay modes. The \Delta^{+} predominantly decays into p\pi^0 with a branching ratio of 2:1 compared to n\pi^+. Additionally, various excited states of the proton, referred to as N* or Delta states, exist and primarily decay into pions along with protons or neutrons. The conversation highlights the complexity of decay processes governed by Clebsch-Gordon coefficients and the importance of consulting resources like the Particle Data Group for detailed branching ratios.

PREREQUISITES
  • Understanding of baryon decay processes
  • Familiarity with Clebsch-Gordon coefficients
  • Knowledge of particle physics terminology
  • Access to the Particle Data Group database
NEXT STEPS
  • Research the decay modes of \Delta baryons in detail
  • Study Clebsch-Gordon coefficients and their applications in particle decay
  • Explore the Particle Data Group for comprehensive baryon tables
  • Investigate the various excited states of the proton, including N* states
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Particle physicists, students of quantum mechanics, and anyone interested in the decay processes of baryons and the properties of protons.

petergreat
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I've never heard of any excited states of the proton. Why?
By "excited state" I mean something with the same composition (uud) that decays to the proton (plus photons etc.) with nearly 100% branching ratio.
 
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Thanks! One question, though. Does the \Delta^+ decay to p\pi^0 or to n\pi^+ more often? According to Wikipedia on Delta baryons both decay modes exist.
 
In order to answer that question, I'd go to the Particle Data Group and search through the baryon tables, but you might as well do it yourself. :wink:

http://pdg.lbl.gov/
 
I actually check PDG before I posted the previous reply, but I got lost...
I went to Particle Properties -> Baryons, and found a list of reviews. I admit I often don't understand the terminology, but none of them seems to have any information on Delta+ branching ratios.
 
That's because the decays are given by Clebsch-Gordon coefficients and the assumption is anyone can calculate them.
 
Neutrons decay into protons [plus electons and electron antineutrinos].
 
petergreat said:
Thanks! One question, though. Does the \Delta^+ decay to p\pi^0 or to n\pi^+ more often? According to Wikipedia on Delta baryons both decay modes exist.
The ratio of Delta-->pi0 n/Delta-->pi- p is determined by isospin to be 2:1.
 
  • #10
Thereare a large number of excited states of the proton besides the Delta.
All the states called N* or Delta can be considered excited states of the proton.
They decay mainly into pions and a proton or neutron.
There is a small branching ratio into photon and nucleon.
 

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