Alternating Nucleon Model structures of stable nuclides from 2H to 64Zn
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The attached interactive HTML file contains rotatable geometric visualizations of 47 stable isotopes from ²H through ⁶⁴Zn. Counting the number of nearest neighbor NN contacts establishes the average nucleon coordination number (CAN), correlates remarkably with BE/A (R² = 0.992), European Muon Collaboration (EMC) effect magnitude (R² = 0.965), and short-range correlation (SRC) scaling factor (R² = 0.921). The Alternating Nucleon Model (ANM) optimizes proton-neutron pairs within unique three-dimensional nuclear lattice structures. Interactive 3D HTML visualizations display alternating nucleon positions and inter-nucleon connections, a proxy for NN interactions within strong-force range. These structures, validated by correlation with experimental charge radii (R² = 0.984), derive from three empirical inputs: the proton charge radius (0.8414 fm), the Argonne v18 potential minimum (0.81–0.83 fm), and prolate spheroid nucleon deformation from the N→Δ(1232) quadrupole moment. Structural complexity condenses to a single parameter: the average nucleon coordination number (CAN), which quantifies mean nearest-neighbor interactions within strong-force range for each nucleon. By interpreting mass-defect binding energies as Gibbs free energy (ΔG = ΔH − TΔS), we parse the enthalpic and entropic contributions to nuclear assembly within the parabolic regression BE/A = (5.9837 MeV) CAN - (0.6979 MeV) CAN ² - 4.0102 MeV. The extracted effective temperature T9,eff = 8.1 ± 0.23 is consistent with Nuclear Statistical Equilibrium (NSE) conditions (T9 = 5–10), where iron-peak nucleosynthesis saturates in core-collapse supernovae. A Euclidean basis for the established EMC-SRC correlation arises naturally from the lattice: ANM bond lengths (0.84–0.96 fm) situate p-n pairs within the 0.8–1.2 fm range, where tensor correlations generate high-momentum components (k > 300 MeV/c) characteristic of short-range correlations. Evolving structural complexity in the ANM generates increased nucleon coordination, captured by the rise in CAN values. This geometric progression increases p-n contacts, correlating with the enhancement of SRC prevalence—scaling from 4% in the deuteron to 21% in ⁵⁶Fe.



