The Liquid Drop Mass Formula as a Shell Model Average

  • M. Bauer


It has been previously shown1)that an expression for the binding energies of nuclei with the structure of the semiempirical Bethe-Weizsäcker mass formula can be derived from a shell model with residual interactions. Pending quantitive agreement -which is the subject of this paper -this approach provides a microscopial foundation for the exceptionally good semi-empirical mass formula. To our knowledge, this constitutes the first verification of the commonly accepted, but otherwise unproven, statement that the liquid drop mass formula should emerge from a suitably averaged shell model, this being the basic assumption in the mass formulae constructed by using the liquid drop expression as a base line to which shell corrections are added.


Shell Model Liquid Drop Mass Formula Residual Interaction Shell Correction 
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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • M. Bauer
    • 1
  1. 1.Instituto de FísicaUniversidad Nacional Autónoma de MéxicoMéxico

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