A simple procedure for construction of the orthonormal basis vectors of irreducible representations of O(5) in the OT(3)⊗ON(2) basis

Document Type

Article

Publication Date

6-1-2018

Abstract

A simple and effective algebraic isospin projection procedure for constructing orthonormal basis vectors of irreducible representations of O(5)⊃OT(3)⊗ON(2) from those in the canonical O(5)⊃SUΛ(2)⊗SUI(2) basis is outlined. The expansion coefficients are components of null space vectors of the projection matrix with four nonzero elements in each row in general. Explicit formulae for evaluating OT(3)-reduced matrix elements of O(5) generators are derived.

Publication Source (Journal or Book title)

Nuclear Physics A

First Page

86

Last Page

105

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