Wigner coefficients of U(4) ⊃ SUS(2) ⊗ SUT(2)

Document Type

Article

Publication Date

12-1-2023

Abstract

The Wigner coefficients of U(4) ⊃ SUS(2) ⊗ SUT(2) for the coupling [n14,n24,n34,n44]⊗[n14,n24,n34,n44]↓[n14,n24,n34,n44] with arbitrary irreducible representations [n14,n24,n34,n44] and [n14,n24,n34,n44] of U(4) are derived with an expression involving the Wigner coefficients of U(4) in the canonical U(4) ⊃ U(3)⊃U(2) ⊃U(1) basis and the state expansion coefficients of U(4)⊃SUS(2)⊗SUT(2) in terms of those of the U(4) canonical basis determined previously. Algebraic expressions of the elementary Wigner coefficients of U(4)⊃SUS(2)⊗SUT(2) in terms of the state expansion coefficients are explicitly provided.

Publication Source (Journal or Book title)

Nuclear Physics A

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