Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W36). 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. Probe charmonium-nucleon interactions in high energy proton-proton collisions Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2603.27391 We investigate charmonium production and the charmonium-nucleon correlation function in pp collisions using the EPOS4+CATS framework. 2. Optimized filtering for pulse-shape based pile-up rejection applied to $0\nu\beta\beta$ search with $^{100}$Mo Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2606.17948 Pile-up events, arising from the partial or complete temporal overlap of distinct signals, represent a major challenge in many areas of experimental physics where rare or low-rate processes are targeted. 3. Emergent aggregation from collective foraging Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2608.28046 Collective behaviour in living systems is usually modelled as the outcome of a \emph{direct} social drive: agents are rewarded, or hard-wired, to align with or approach their neighbours. 4. Quantum Simulation of Nuclear Dynamics in First Quantization Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2507.22814 The study of real time dynamics of nuclear systems is of great importance to provide theoretical predictions of cross sections relevant for both terrestrial experiments as well as applications in astrophysics. 5. Effect of Thermal Broadening on Light Hadron Production in Heavy-Ion Collisions Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2608.28456 The measured hadron yields in heavy-ion collisions are well described by thermal particle production at temperatures close to the QCD pseudo-critical transition. 6. An Asymptotically Causal Metamodel for Neutron Star Equations of State Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2604.00196 Nuclear metamodels - phenomenological parametrizations of the energy of nuclear matter - are convenient tools to explore the space of realistic neutron star configurations constrained by astrophysical and nuclear data. 7. Microscopic Realization of Topologically Quantized Alignment in Fast-Rotating Nuclei Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2608.27941 We present the first quantitative microscopic realization of topologically quantized alignment in a finite nuclear system. 8. Exact Treatment of Continuum Couplings in Nuclear Optical Potentials via Feshbach Theory Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2508.07584 We present a full-coupling construction of the Feshbach effective interaction in a converged continuum-discretized coupled-channels (CDCC) calculation. 9. Spectroscopy of 211,213,215Pb isotopes and seniority properties Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2608.24951 We first consider lead isotopes with valence neutrons in the g9/2shell. 10. Investigation of S-wave tetraquark bound and resonant states with all Jacobi coordinates Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2608.28284 We systematically explore the $S$-wave tetraquark systems $Qs\bar{n}\bar{n}$, $QQ\bar{n}\bar{n}$, $QQ\bar{Q}\bar{Q}$, and $ss\bar{s}\bar{s}$ ($Q=c,b$; $n=u,d$) within the constituent quark potential model. 11. CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2311.06406 In this paper we confront the CGC/saturation approach of Ref.~\cite{CLMS} with the experimental combined HERA data and obtain its parameters. 12. Color screening versus thermal decay as the mechanism of $\Upsilon$ suppression in high energy nuclear collisions Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2608.28277 To clearly identify the mechanism behind the suppression of heavy quarkonium in relativistic heavy-ion collisions, we study $\Upsilon$ production at RHIC energies by solving its transport equation driven solely by the suppression rates. 13. The role of strangeness and baryon enhancement in heavy-quark hadronisation from pp to Pb$-$Pb collisions with ALICE Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2608.28297 In this contribution, a combined study of charm-meson and charm-baryon production with ALICE is presented. Sources in this brief: nlin.AO (Adaptation and Self-Organizing Systems); nucl-ex (Nuclear Experiment); nucl-th (Nuclear Theory). Selected 13 of 28 available items for this weekly brief.