Distribution of nucleons in the nuclei

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Discussion Overview

The discussion revolves around the distribution of nucleons within atomic nuclei, referencing a diagram from Krane's "Introductory Nuclear Physics." Participants explore the characteristics of nucleon distribution, particularly how it varies with mass number and the implications of the strong force on this distribution.

Discussion Character

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

Main Points Raised

  • Some participants assert that nucleons do not cluster around the center of the nucleus but instead have a fairly constant distribution throughout, with the number of nucleons per unit volume remaining relatively stable.
  • It is noted that the distribution of nucleons tapers off, with smaller mass number nuclei exhibiting a quicker tapering compared to larger mass number nuclei, though the reasons for this behavior are not fully understood.
  • One participant suggests that the tapering of nucleon distribution is related to the range of the strong force, which binds nucleons together and has a limited range.
  • Another participant mentions that the charge densities of nucleons drop off slowly, indicating that there is no sharp outer boundary to the nucleus, which is supported by Krane's assertion that the distance over which charge density decreases is nearly independent of nucleus size.
  • A question is raised about whether the lack of a sharp outer boundary implies that larger nuclei have a longer distance over which charge density drops, suggesting a potential relationship between nucleus size and charge density distribution.

Areas of Agreement / Disagreement

Participants generally agree on the notion that nucleons have a constant distribution and that this distribution tapers off due to the strong force. However, there is no consensus on the implications of this tapering in relation to mass number and charge density, indicating multiple competing views remain.

Contextual Notes

Some assumptions about the nature of nucleon distribution and the effects of the strong force are present but not fully explored. The discussion also reflects uncertainty regarding the relationship between nucleus size and charge density drop-off.

Who May Find This Useful

This discussion may be of interest to those studying nuclear physics, particularly in understanding nucleon behavior within atomic nuclei and the implications of nuclear forces on distribution patterns.

says
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What does this diagram tell us about the distribution of nucleons in the nuclei? - The diagram is from Krane Introductory Nuclear Physics

I know that nucleons don't congregate around a central part of a nucleus, but instead have a constant distribution throughout. i.e. The number of nucleons per unit of volume is fairly constant.

I'm not really sure why they all taper off the way they do though. Smaller mass number particles tend to taper off quicker, while larger mass number particles taper off slower. I'm not really sure why this is.


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says said:
I know that nucleons don't congregate around a central part of a nucleus, but instead have a constant distribution throughout. i.e. The number of nucleons per unit of volume is fairly constant
That would give horizontal lines in the diagram that drop to zero at some nucleus radius.
The densitties don't drop off sharply but taper out to zero because the nucleons are bound together by the strong force that has a very limited range (the 208Pb is the largest stable nucleus). So the nucles is a dense but but moving packing, meaning that just like with electron orbits around the nucleus, there is no sharp outer bound.
 
So the nucleons have a fairly constant distribution in the nucleus, but the distribution tapers off at the range of the strong force. For nuclei with larger mass number, A, this tapering off is a much longer tail?
 
Not much, considering the big difference in atomic number...
 
Nucleons have a fairly constant distribution but their charge densities drop off relatively slowly because there is no sharp outer boundary to the nucleus.

Krane says 'the distance over which the charge density drops is nearly independent of the size of the nucleus, and is usually taken to be constant.'

If the nucleus is large and there is no sharp outer boundary to it, then doesn't that mean the larger the nucleus the longer the distance over which the charge density drops?
 

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