The fundamental role of symmetry in nuclear models

Abstract

The purpose of these lectures is to illustrate how symmetry and pattern recognition play essential roles in the progression from experimental observation to an understanding of nuclear phenomena in terms of interacting neutrons and protons. We do not discuss weak interactions nor relativistic and sub-nucleon degrees of freedom. The explicit use of symmetry and the power of algebraic methods, in combination with analytical and geometrical methods are illustrated by their use in deriving a shell-model description of nuclear rotational dynamics and the structure of deformed nuclei.

33 pages, 14 figures

References in corpus (2)

• A computer code for calculations in the algebraic collective model of the atomic nucleus
• Embedded Representations and Quasi-Dynamical Symmetry

Cited by in corpus (10)

• Symmetry-guided large-scale shell-model theory
• Physics of nuclei: Key role of an emergent symmetry
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
• Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model
• The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective
• Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
• On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$