遇见数据集

Alternating Nucleon Model structures of stable nuclides from 2H to 64Zn

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Zenodo2026-01-18 更新2026-05-26 收录
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The attached Master_data_ANM_H2_Zn64_v3 dataset provides three-dimensional Cartesian coordinates of quark and nucleon positions for 47 isotopes from ²H through ⁶⁴Zn predicted by the Alternating Nucleon Model (ANM). The predicted nuclear geometries were validated against experimental charge radii (R² = 0.984). Interactive 3D HTML visualizations display nucleon positions and inter-nucleon connections, enabling direct counting of nearest-neighbor nucleons within the strong force range (~1 fm). This structural parameter—the average coordination number (CAN)—accurately predicts the parabolic binding energy curve (R² = 0.992) via the regression BE/A = (5.9837 MeV) CAN - (0.6979 MeV) CAN ² - 4.0102 MeV, and correlates strongly with the EMC effect magnitude (R² = 0.965) through the linear relationship dR_EMC/dx = 0.1414CAN - 0.14. Reinterpreting this BE/A expression as Gibbs free energy (ΔG = ΔH - TΔS) partitions binding energy contributions into enthalpy-like (linear) and entropy-like (quadratic) terms. The linear coefficient (5.9837 MeV) represents the energetic benefit per nearest-neighbor interaction, while the quadratic penalty (0.6979 MeV) reflects entropic costs of increasing structural complexity and cross-linking with mass number. Converting the entropic coefficient to an effective temperature using the Boltzmann constant (kB = 8.62×10⁻⁵ eV/K) yields Teff = 8.1 × 10⁹ K (T₉,eff = 8.1), remarkably consistent with nuclear statistical equilibrium (NSE) conditions during explosive silicon burning in core-collapse supernovae (T₉ ≈ 5–10), where photodisintegration and reassembly reactions establish thermodynamic equilibrium among iron-peak nuclei. The ANM constructs nuclear structures from three empirical inputs: (1) proton charge radius rp = 0.8414 fm, defining nucleon spatial extent; (2) nucleon-nucleon potential minimum rNN ≈ 0.8 fm from Argonne v18, defining optimal separation distance; (3) prolate spheroidal geometry derived from the N→Δ(1232) quadrupole transition moment, representing intrinsic nucleon deformation. The model postulates that nucleons arrange to maximize nearest-neighbor connectivity while satisfying two constraints: (a) alternating isospin (reflecting the preferred stability of proton-neutron pairing), and (b) separation distances near the potential minimum. This geometric framework generates CAN as an emergent structural parameter that correlates with nuclear observables spanning multiple energy scales.

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Zenodo
创建时间:
2026-01-03
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