Is there a formula for the elusive binding energy of heavy nuclei?

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SUMMARY

The discussion centers on the semi-empirical binding energy formula for heavy nuclei, particularly in relation to the 'island of stability'. It is established that while the liquid drop model provides a foundational understanding, the stability of heavy nuclei is primarily influenced by microscopic corrections rather than just liquid drop properties. Modern models incorporate a micro-macro approach to accurately predict the island of stability. Key references include works by Moller et al. and Lunney et al., which are essential for further exploration of this topic.

PREREQUISITES
  • Understanding of the liquid drop model in nuclear physics
  • Familiarity with binding energy concepts and calculations
  • Knowledge of nuclear stability and the island of stability
  • Basic proficiency in interpreting scientific plots and data visualization
NEXT STEPS
  • Research the micro-macro formula in nuclear physics
  • Study the works of Moller et al. on nuclear binding energy
  • Examine Lunney et al.'s contributions to the understanding of nuclear stability
  • Explore advanced computational tools for modeling nuclear properties
USEFUL FOR

Nuclear physicists, researchers in nuclear stability, and students studying advanced nuclear models will benefit from this discussion.

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Binding Energy...

Is there a semi-empirical binding energy formula for the heavy nuclear 'island of stability'?

The attachments are a plot of the nucleotide chart based upon the semi-empirical binding energy formula for the liquid drop model:

'12a' is a surface plot.
'12b' is a density plot.

The axis are:
x - proton number
y - neutron number
z - binding energy per atomic mass unit (Mev*amu^-1)

I am still in the rough with this software, however anyone's critiques, corrections are welcome.

 

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Fast answer is no, because stability is always due to the microscopic correction, not to the liquid drop properties. Now, most modern models use a micro-macro formula, so they predict the island.

Check the references of my http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:nucl-th/0312003 especially Moller et al. and Lunney et al.
 
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