Why Does Fluorine-19 Have J=1/2 Instead of J=5/2?

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SUMMARY

The angular momentum of Fluorine-19 (F-19) is determined to be J=1/2, contrary to the shell model prediction of J=5/2. This discrepancy arises from the limitations of the shell model in accurately predicting the angular momentum of certain nuclei. The shell model's assumptions do not fully account for the complexities involved in the nuclear structure of F-19, leading to this observed difference. For a deeper understanding, refer to section "14.12.6 Shell model failures" in the provided link.

PREREQUISITES
  • Understanding of nuclear physics concepts, particularly angular momentum.
  • Familiarity with the shell model of nuclear structure.
  • Basic knowledge of quantum mechanics.
  • Experience with isotopic notation and properties.
NEXT STEPS
  • Research the limitations of the shell model in nuclear physics.
  • Study the principles of angular momentum in quantum mechanics.
  • Explore advanced nuclear models that address shell model failures.
  • Examine case studies of other isotopes with similar discrepancies in angular momentum predictions.
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Students and professionals in nuclear physics, researchers studying isotopic properties, and educators looking to explain the complexities of angular momentum in nuclei.

Nouki
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Can anyone explain to me why angular momentum of F-19 equals to J=1/2, but if we calculate J with the shell model the result is J=5/2. Thank you
 
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