Elementary coupling coefficients for the Wigner supermultiplet symmetry

Published: 4 December 2023| Version 1 | DOI: 10.17632/4b7gf2phh2.1


An algorithm for evaluating Wigner coefficients of U(4) ⊃ SUS(2) ⊗ SUT(2) for the coupling [n14, n24, n34, n44] ⊗ [1, 0, 0, 0] ↓ [m14, m24, m34, m44] with arbitrary irreducible representation [n14, n24, n34, n44] is provided based on the algebraic expressions with the expansion coefficients of the U(4)⊃SUS(2)⊗SUT(2) states in terms of those in the U(4) canonical basis and the Clebsch-Gordan coefficients of U(4) in the canonical basis. The state expansion coefficients are evaluated as the components of the null space vectors of the spin-isospin projection matrices.



Nuclear Physics, Computational Physics