On the Problem of “Phase Transitions” in Nuclear Structure

  • G. Scharff-Goldhaber
Part of the Ettore Majorana International Science Series book series (EMISS, volume 10)


In the setting of Brice, so evocative of Homeric adventures, it may be appropriate to state that the nuclear physicist is forced to steer perpetually between the Scylla of inductive and the Charybdis of deductive reasoning. The first approach consists in attempting to organize the empirical facts in as model independent a fashion as possible with the aim of describing them analytically in order to gain deeper insight. The second approach consists in model building, where the model, although usually based on vastly simplifying assumptions, is expected to yield completeness and accuracy in its predictions. The nuclear structure talks we have heard so far during this workshop have proven very effectively the success of an approach which belongs in the second category, namely that associated with the Interacting Boson Model (IBM), in classifying the complex band structure of even-even nuclei. On the other hand the inductive method yielded the Variable Moment of Inertia (VMI) equations,1,2 which give a precise description of ground state band energies of non-magic nuclei in terms of the rotational energy expression:


Gamma Band Electric Quadrupole Moment Interact Boson Model Ground State Band Nucleon Pair 
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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • G. Scharff-Goldhaber
    • 1
    • 2
  1. 1.Brookhaven National LaboratoryUptonUSA
  2. 2.Cornell UniversityIthacaUSA

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