驻留深度谱:独立半径与康普顿半径的比值谱 / The Residence-Depth Spectrum: The Ratio of Independent Radii to the Compton Radius
We define the dimensionless **residence-depth ratio** δ_X = R_ind(X)/λ̄_X — the ratio of a radius readout measured independently of mass (the charge radius) to the reduced Compton radius ħ/(mc) — and present its systematic spectrum over hadrons and nuclides. Criteria were preregistered before data acquisition; all data are traced entry-by-entry to PDG 2026, the IAEA NDS LiveChart, and AME2020. Two principal results. First, the fitted scaling exponent of the nuclide family is α = 1.2601 ± 0.0057 (95% CI [1.2488, 1.2715], R² = 0.9986) — a 4/3-class scaling is excluded by the confidence interval (the implied effective radius growth R ∝ A^0.26 is slower than the liquid-drop A^(1/3)), and the residuals around a fixed 4/3 form are non-random (monotonicity ρ = −0.933, permutation p = 0.001). Second, under a unified power-law null model the baryon–nuclide interface shows a jump (4.75σ with the fitted-β null; 1.82σ with a fixed 4/3 null — both versions reported side by side, since part of the significance comes from the slope deviation itself), while the meson–baryon interval is continuous. Two preregistered readings were not supported: the full-sample positive correlation between δ and binding energy per nucleon (ρ = 0.387) collapses to zero when log A is controlled for (partial correlation −0.005; the original correlation is A-driven), with within-band correlation signs flipping near the iron peak (bands of n = 10–13, registered as a descriptive observation); among halo-nucleus contrasts only ⁶He vs ⁴He is significant (13.2σ), with ¹¹Li and ¹¹Be directional only (1.6σ / 1.8σ). The spectrum provides a reproducible dimensionless coordinate between the mass, radius, and binding-energy databases; all statistical scripts and intermediate tables are released with the paper.
Authors
- Qin Qin (ORCID: https://orcid.org/0000-0002-4046-0306)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-03
- DOI
- https://doi.org/10.5281/zenodo.23912420
- Primary Topic
- Nuclear physics research studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00