Kota V.K.B. SU(3) Symmetry in Atomic Nuclei

Springer, 2020. — 297 p. — ISBN: 9811536023.This book provides an understandable review of SU(3) representations, SU(3) Wigner–Racah algebra and the SU(3) ⊃ SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson–fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry.SU(3) Algebra in Nuclei: Preliminaries
SU(3) Wigner–Racah Algebra I
SU(3) Wigner–Racah Algebra II
SU(3)⊃SO(3) Integrity Basis Operators
SU(3) in Shell Model Based Approaches and Their Applications
SU(3) in Interacting Boson Models
SU(3) in Interacting Boson–Fermion Models
Extended Applications of SU(3)
Statistical Nuclear Physics with SU(3)
Multiple SU(3) Algebras in Interacting Boson Model and Shell Model
Summary and Future Outlook