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SU(3) Wigner–Racah Algebra I

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SU(3) Symmetry in Atomic Nuclei

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Abstract

In this chapter, described are several different methods for obtaining SU(3) irreps in a given irrep of the oscillator SGA \(U((\eta +1)(\eta +2)/2)\) with oscillator shell number \(\eta \). Going beyond this, introduced and described in some detail are \(SU(3) \supset SU(2) \otimes U(1)\) and \(SU(3) \supset SO(3)\) reduced Wigner coefficients. Continuing this, introduced are also SU(3) Racah or U coefficients and the closely related Z-coefficients. Further details of SU(3) Wigner-Racah algebra are given in the next two chapters.

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Authors and Affiliations

  1. Theoretical Physics Division, Physical Research Laboratory, Ahmedabad, Gujarat, India

    V. K. B. Kota

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Kota, V.K.B. (2020). SU(3) Wigner–Racah Algebra I. In: SU(3) Symmetry in Atomic Nuclei. Springer, Singapore. https://doi.org/10.1007/978-981-15-3603-8_3

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