What is the distribution of mass in an atomic nucleus?

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Discussion Overview

The discussion centers on the distribution of mass within an atomic nucleus, exploring various models and theories related to its structure. Participants examine different perspectives on whether the mass distribution is uniform, resembles a normal distribution, or has other characteristics, with implications for understanding nuclear physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the distribution of mass in an atomic nucleus, noting conflicting information about uniform versus normal distribution.
  • Another participant suggests that models of mass distribution are approximate and directs to a Wikipedia article for further information.
  • A later reply mentions that the mass distribution is roughly uniform in the center with relatively sharp edges, while also acknowledging the existence of exotic halo nuclei.
  • It is noted that many nuclei may be ellipsoidal rather than spherical, which could affect mass distribution considerations.
  • One participant discusses the use of a harmonic oscillator potential, indicating that single-particle wavefunctions may resemble Gaussian shapes, but questions the realism of this model.

Areas of Agreement / Disagreement

Participants express differing views on the nature of mass distribution in atomic nuclei, with no consensus reached on a definitive model or characterization.

Contextual Notes

Participants highlight the limitations of existing models, including the dependence on specific assumptions and the potential unrealistic features of certain theoretical frameworks.

carllacan
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Hi.

This may be a trivial question, but I'm unable to find a definitve answer.

How is the mass on a atomic nucleus distributed?

I read somewhere that it was uniformly distributed, and somewhere else that it resembled a normal distribution. Can you help me out?

Thank you.
 
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Roughly uniform in the center, and then relatively sharp edges. Apart from halo nuclei, but they are exotic and not long-living.
 
And of course many nuclei are ellipsoidal rather than spherical.

carllacan said:
I read somewhere that it was uniformly distributed, and somewhere else that it resembled a normal distribution. Can you help me out?

If you use a harmonic oscillator potential, then the single-particle wavefunctions will resemble Gaussian shapes (like a normal distribution). But that's an unrealistic feature of the harmonic oscillator potential.
 

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