How Electrons Penetrate Nucleus w/o Capture

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Discussion Overview

The discussion revolves around the behavior of electrons, particularly s-wave electrons, in relation to the nucleus, focusing on their ability to penetrate the nucleus without being captured. It explores concepts related to electron capture, binding energy, and the structure of nucleons, as well as the implications of quantum mechanics on these phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants note that s-wave electrons can penetrate the nucleus but may not necessarily be captured, depending on the energy dynamics involved.
  • There is a discussion about whether the resulting nucleus from an electron capture event has more or less binding energy compared to the original nucleus, with references to Nickel-56 as a potential threshold.
  • One participant expresses confusion about the nature of the nucleus, questioning whether it can be thought of as a solid entity and whether protons must interact with specific quarks during capture events.
  • Questions arise regarding the distances between nucleons and the depiction of nucleons as triangles in diagrams, with some participants suggesting that nucleons behave more like clouds due to the uncertainty principle.
  • There is a mention of a specific interaction process involving quarks and the W boson during electron capture, indicating a complex interaction at the subatomic level.
  • Another participant inquires about the order of movement of quarks and gluons within nucleons, suggesting a curiosity about the internal dynamics of these particles.

Areas of Agreement / Disagreement

Participants express various viewpoints regarding the nature of electron penetration and capture, with no consensus reached on the specifics of binding energy or the structural representation of nucleons. The discussion remains unresolved on several technical aspects.

Contextual Notes

Participants highlight limitations in understanding the interactions at the quantum level, including assumptions about the solidity of the nucleus and the nature of quark interactions, which remain open to interpretation.

Who May Find This Useful

This discussion may be of interest to those studying nuclear physics, quantum mechanics, or particle physics, particularly in relation to electron behavior and subatomic interactions.

samblohm
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http://en.wikipedia.org/wiki/Radioac...ng_decay_rates

"...which are subject to electron capture in 7Be because (like all s atomic orbitals in all atoms) they naturally penetrate into the nucleus."

How can the s orbitals penetrate the nucleus without being captured? And do they mean all energy levels of the s orbitals?
 
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S-wave electrons do penetrate the nucleus, but may or may not be subject to capture. If and when an orbital electron is captured it turns a proton into a neutron and emits a neutrino. Whether this can actually occur depends on the energy available - does the resulting nucleus have more or less binding energy than the original one?
 
If I'm not mistaken, that would depend on if the resulting nucleus is heavier than Nickel-56, (or 57? something like that). Lighter and I believe it would have less binding energy and heavier the opposite. Or does the fact that there are still the same number of nucleons mean that it stays the same?
When I think of a nucleus I think of a solid chunk which can't be penetrated which is why I asked the question but I can see that's not the case. When thinking about the capture event, can we think of a proton as one unit or does it have to hit a specific quark? And while I'm on the subject of a nucleus, what are the distance between nucleons? Are nucleons really triangles like they are depicted when showing quarks?

http://upload.wikimedia.org/wikipedia/commons/c/cf/HAtomOrbitals.png
This picture suggests to me that the electrons would have to almost teleport in some situations. The 3s,3p, and 3d orbitals seem to have much more defined areas where an electron can't go. Is there a somewhat simple explanation for this? Or does this get into complicated quantum effects only present on that scale?
Sorry for all the questions, I actually find this stuff really interesting!
 
You might find this tutorial helpful. It covers electron capture as well as both kinds of beta decay.
 
samblohm said:
... When I think of a nucleus I think of a solid chunk which can't be penetrated which is why I asked the question but I can see that's not the case...
A better simplistic visualisation is a cloud. The quarks and gluons within each nucleon are all whizzing around, because the uncertainty principle requires their momenta to be significant because of the very small uncertainties in their positions.
...When thinking about the capture event, can we think of a proton as one unit or does it have to hit a specific quark?
It does, indeed, interact with a single, up, quark. At this level, the reaction is

e + u → v + d​

Putting in the W boson, the full process is actually two interactions:

e → v + W-
W- + u → d​
...And while I'm on the subject of a nucleus, what are the distance between nucleons? Are nucleons really triangles like they are depicted when showing quarks?
≈ 1 fm. They are not triangles, see above re clouds.
 
Is there any order that the quarks and gluons move around in nucleons?
 

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