What is the average transition time for a nucleon between protons and neutrons?

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Discussion Overview

The discussion revolves around the concept of nucleon transitions between protons and neutrons within an atomic nucleus. Participants explore whether it is meaningful to quantify an "average" transition time for nucleons and the implications of such transitions on nuclear stability and decay processes.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the meaningfulness of discussing an "average" transition time for nucleons, suggesting it may be a non sequitur.
  • Another participant proposes that a rough timescale for nuclear processes can be estimated using the relationship between ##\hbar## and the binding energy of a nucleon.
  • A third participant reflects on their undergraduate learning regarding neutron stability in the nucleus and the transformation to protons via pions, expressing confusion about the validity of this explanation and its implications for beta decay.
  • This participant also suggests that the characteristic time for neutron to proton transitions is related to the time it takes for a photon to traverse a nucleus, proposing a relationship involving the nuclear radius.
  • A later reply acknowledges a misunderstanding from the previous post, indicating a reconsideration of the initial interpretation.

Areas of Agreement / Disagreement

Participants express differing views on the validity and implications of discussing average transition times, with some proposing methods for estimating these times while others express skepticism about the concept itself. The discussion remains unresolved regarding the overall meaning and implications of nucleon transitions.

Contextual Notes

There are limitations in the assumptions made about nucleon transitions, particularly regarding the definitions of stability and the conditions under which beta decay occurs. The discussion also highlights the complexity of nuclear interactions and the challenges in quantifying transition times.

gildomar
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I know that the nucleus can be considered a bunch of particles that constantly transition between protons and neutrons due to exchange. Given that, is it meaningful to talk about the "average" time that a nucleon spends as either a proton or a neutron before switching to the other? Or is that a non sequitor?
 
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That does not make sense, but you can still give a rough typical timescale for processes in the nucleus, corresponding to ##\hbar## divided by the binding energy of a nucleon.
 
I am not sure, but I learned during my undergrad that the neutron is stable in the nucleus because it transforms to proton with pions before having the time to beta decay.
HOWEVER here I learned this is nonsense of an explanation and I even got a red ticket for posting a source... and now that I think of it, it's really nonsense because- then - there would be no beta decays for any nucleus...

But in general the characteristic time for a neutron to proton transisition is supposed to be the characteristic time of nuclear interactions... you can find that "characteristic" time only by seeing how much does it take for a photon to pass through a nucleus (so how much fast is the fastest interaction within the nucleus). That's by taking:
[itex]t_{ch} \propto \frac{1 fm}{c}[/itex]
where 1fm is around the radius of the nucleus...
 
Yeah, sorry about that; it was late and I really misinterpreted something that I had read. I realized how backwards it was after I actually slept on the matter.
 

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