The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective

Abstract

The nuclear collective models introduced by Bohr, Mottelson and Rainwater, together with the Mayer-Jensen shell model, have provided the central framework for the development of nuclear physics. This paper reviews the microscopic evolution of the collective models and their underlying foundations. In particular, it is shown that the Bohr-Mottelson models have expressions as macroscopic limits of microscopic models that have precisely-defined expressions in many-nucleon quantum mechanics. Understanding collective models in this way is especially useful because it enables the analysis of nuclear properties in terms of them to be revisited and reassessed in the light of their microscopic foundations.

arXiv comment38 pages, 1 figure, 4 tables; published in Phys. Scr., focus issue to celebrate the 40 year anniversary of the 1975 Nobel Prize to Aage Niels Bohr, Ben Roy Mottelson and Leo James Rainwater (ed. Jerzy Dudek)

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Cited by in corpus (5)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Probing ab initio emergence of nuclear rotation
• Rotational bands beyond the Elliott model
• The spin-flip-induced quadrupole resonance in odd-$A$ exotic atoms