Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W46).

Clay tracks publications from the Nonlinear Sciences feed list. Below are recent items from this category, each with its source and a short description of what the publication covers when one is available in the source feed.

Recent publications:
1. Schr\"{o}dinger Generator for High-Dimensional Integration and Sampling on Quantum Many-Body States
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2608.00529
   Integration and sampling in high dimensions are among central challenges in modern science and technology, underlying applications ranging from quantum many-body physics to Bayesian inference and artificial intelligence.
2. Octupole correlations in $^{220,222,224,226}$Rn
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2509.13613
   The octupole correlations in $^{220,222,224,226}$Rn are investigated by using multi-dimensionally constrained covariant density functional theory.
3. Independent nuclear charge radius determinations: bound-electron $g$ factor versus muonic atom spectroscopy
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2611.09242
   We present an alternative method to determine absolute nuclear charge radii competitively via the bound electron $g$ factor of H-like ions.
4. New Neutron Polarizabilities from Deuterium Compton Scattering at HI$\gamma$S
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2611.06609
   Elastic and inelastic Compton-scattering cross sections of the deuteron were measured at HI$\gamma$S using a circularly polarized, quasi-monoenergetic $\gamma$-ray beam (61.0 MeV).
5. On the collective flow puzzle in ultra-central heavy-ion collisions
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2611.09643
   Using UCC-DiffHIC, an AI-accelerated event-by-event hydrodynamic model validated against hybrid simula- tions, we study flow in ultracentral Pb-Pb collisions.
6. Quasi-hydrodynamics beyond the conventional paradigm
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2611.09246
   Quasi-hydrodynamics extends hydrodynamics by promoting slowly relaxing variables to additional degrees of freedom.
7. Flat "Island of Stability" of Superheavy Nuclei
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2611.09099
   We present the first systematic microscopic calculations of fission barrier heights for 292 even-even superheavy nuclei using the multidimensionally constrained relativistic mean field model with triaxial and octupole deformations treated simultaneously.

Sources in this brief: nucl-th (Nuclear Theory).
Selected 7 of 7 available items for this weekly brief.