Why are higher magic numbers not accurately predicted?

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Discussion Overview

The discussion centers around the prediction of higher magic numbers in nuclear physics, particularly questioning why these numbers are not accurately predicted when assuming a central potential for nuclear interactions. The scope includes theoretical considerations and the implications of nuclear stability associated with magic numbers.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the accuracy of predicting higher magic numbers under the assumption of a central potential, highlighting the stability of nuclei with magic numbers.
  • Another participant notes that many-body problems in nuclear physics are complex, suggesting that predictions of magic numbers rely on simplifying models that may not capture all necessary details.
  • A different participant points out that spin-orbit coupling is not considered when using a central potential, explaining how the alignment of spin with angular momentum affects the energy levels of the system.

Areas of Agreement / Disagreement

Participants express differing views on the reasons behind the inaccuracies in predicting higher magic numbers, indicating that multiple competing explanations exist without a consensus on the primary factors involved.

Contextual Notes

The discussion acknowledges limitations related to the complexity of many-body problems and the potential oversimplification in models used for predictions, but does not resolve these issues.

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Why are higher magic numbers not accurately predicted if nuclear potential is assumed to be a central potential?

Nuclei with magic numbers have a higher stability that those without. If we think of the nuclear potential as a central potential though these magic numbers aren't predicted accurately. Why?
 
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(From someone who knows very little.) Many body problems are very hard to compute accurately, so magic number prediction is based on simplifying models.
 
says said:
Why are higher magic numbers not accurately predicted

Why do you think they are not?
 
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spin-orbit coupling is not taken into account with a central potential. When spin is aligned with angular momentum the potential becomes more negative. When spin and angular momentum are anti-aligned the system's energy is higher.
 

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