Symmetry-informed neural networks using SU(3)/SU(4) Casimir operators achieve lower RMSE on global nuclear masses than liquid-drop models, with WINN reaching 0.430 MeV validation error and showing dripline and superheavy patterns.
Unmasking Hidden Wigner's Symmetry from First Principles
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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.
fields
nucl-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
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Bridging Ab Initio Symmetries and Global Nuclear Masses with Interpretable Neural Networks
Symmetry-informed neural networks using SU(3)/SU(4) Casimir operators achieve lower RMSE on global nuclear masses than liquid-drop models, with WINN reaching 0.430 MeV validation error and showing dripline and superheavy patterns.
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Coulomb Corrections to Three-Nucleon Moments
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).