Elementary coupling coefficients for the Wigner supermultiplet symmetry
Document Type
Article
Publication Date
3-1-2024
Abstract
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. Program summary: Program Title: Wigner-U4-SU2xSU2 CPC Library link to program files: https://doi.org/10.17632/4b7gf2phh2.1 Licensing provisions: GPLv3 Programming language: Wolfram Mathematica version 9.0.1.0 and beyond Nature of problem: Numerical evaluation of the elementary Wigner coefficients (EWCs) of U(4)⊃SUS(2)⊗SUT(2). Solution method: Mathematica implementation of the EWCs of U(4)⊃SUS(2)⊗SUT(2) [1] using the expansion coefficients of U(4)⊃SUS(2)⊗SUT(2) states in terms of those of the U(4) canonical basis determined as components of the null space vectors of the spin-isospin projection matrices [2]. References: [1] F. Pan, L. Dai, J. P. Draayer, Nucl. Phys. A 1040 (2023) 122746. [2] F. Pan, Y. Wu, A. Li, Y. Zhang, L. Dai, J. P. Draayer, Eur. Phys. J. Plus 138 (2023) 662.
Publication Source (Journal or Book title)
Computer Physics Communications
Recommended Citation
Pan, F., Dai, L., & Draayer, J. (2024). Elementary coupling coefficients for the Wigner supermultiplet symmetry. Computer Physics Communications, 296 https://doi.org/10.1016/j.cpc.2023.109025