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arXiv · 2604.27144

Unmasking Hidden Wigner's Symmetry from First Principles

Phong Dang·Daniel Langr·Tomas Dytrych·Jerry P. Draayer·David Kekejian
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Abstract

We present quantitative evidence that high-quality internucleon forces derived from $\chi$EFT exhibit a striking dominance of Wigner's supermultiplet symmetry, without invoking the large-$N_c$ limit of QCD or assumptions about specific nuclei. We trace the manifestation of this symmetry in nuclear structure using the \textit{ab initio} Symmetry Adapted Model (SAM) and identify suppressed spin-isospin polarizability. Our calculations show that a majority of $\rm ^4He$, $\rm ^6Li$, and $\rm ^6He$ wave functions is concentrated in a few $\rm U(4)$ irreducible representations, without imposing any \textit{a priori} constraints on the model space. This emergent feature points to a strategy for reducing explosive many-body bases of the NCSM while retaining physically important configurations needed to compute observables.

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Phong Dang, Daniel Langr, Tomas Dytrych, Jerry P. Draayer, David Kekejian. 2026-04-29. Unmasking Hidden Wigner's Symmetry from First Principles. https://arxiv.org/abs/2604.27144

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