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| Format: | Recurso digital |
| Language: | English |
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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19443070 |
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| _version_ | 1866901946200227840 |
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| author | Rodrigues, Luis |
| author_facet | Rodrigues, Luis |
| contents | <p><em><span>We investigate whether a single topological constraint Γ<sub>vac</sub> = (α/2)·Ω·f<sub>G</sub> — where α is the fine-structure constant, Ω the closed solid angle of the nuclear surface, and f<sub>G</sub> a gauge-group weight derived from Lie-algebra dimension — accounts for empirical regularities across four nuclear decay modes without free parameters. The hypothesis, termed Topological Density Functional Theory (T-DFT), predicts: (<strong>i</strong>) a universal Gamow-Teller quenching factor q = 0.759 from the eight generators of the SU(3) QCD vacuum; (<strong>ii</strong>) a 2.27% attenuation of electromagnetic transition rates and the exact invariance of E2/M1 mixing ratios δ under SU(2); (<strong>iii</strong>) an α-decay pre-formation probability P<sub>α</sub> = 0.759 from volumetric SU(3) confinement; and (<strong>iv</strong>) a topological lower bound on nuclear lifetimes Γ<sub>transit</sub> ~ 10</span></em><em><span>⁻</span></em><em><span>²² s at the drip lines. We test these predictions against the full ENSDF database (738,661 transitions) and the AME2020 atomic mass evaluation. For alpha decay (N = 698 total): ρ = 0.903 and R² = 0.720 for the Trans-Pb region (Z </span></em><em><span><span>³</span></span></em><em><span> 83, N=485). For the beta log ft class averages, the 2nd-forbidden unique class achieves a deviation of only −0.018 logft units between prediction and empirical mean; the Allowed class overestimates by +0.527 units. For drip-line unbound states, T½<sub>exp</sub> ≥ T½<sub>topo</sub> is satisfied in all 12 cases with measured resonance widths (median ratio = 56.3). The T-DFT framework isolates the natural attempt frequency, revealing that neutron emitters (delayed only by centrifugal barriers) exhibit a mean delay of 22.3×, while proton emitters (experiencing additional Coulomb suppression) show a mean delay of 70.8×, in perfect agreement with classical barrier penetrability.</span></em></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19443070 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topological Vacuum Constraints on Nuclear Decay Rates: An Empirical Assessment of the T-DFT Hypothesis Rodrigues, Luis Topological constraints Nuclear decay rates Gamow-Teller quenching Alpha preformation Nuclear drip lines SU(3) vacuum <p><em><span>We investigate whether a single topological constraint Γ<sub>vac</sub> = (α/2)·Ω·f<sub>G</sub> — where α is the fine-structure constant, Ω the closed solid angle of the nuclear surface, and f<sub>G</sub> a gauge-group weight derived from Lie-algebra dimension — accounts for empirical regularities across four nuclear decay modes without free parameters. The hypothesis, termed Topological Density Functional Theory (T-DFT), predicts: (<strong>i</strong>) a universal Gamow-Teller quenching factor q = 0.759 from the eight generators of the SU(3) QCD vacuum; (<strong>ii</strong>) a 2.27% attenuation of electromagnetic transition rates and the exact invariance of E2/M1 mixing ratios δ under SU(2); (<strong>iii</strong>) an α-decay pre-formation probability P<sub>α</sub> = 0.759 from volumetric SU(3) confinement; and (<strong>iv</strong>) a topological lower bound on nuclear lifetimes Γ<sub>transit</sub> ~ 10</span></em><em><span>⁻</span></em><em><span>²² s at the drip lines. We test these predictions against the full ENSDF database (738,661 transitions) and the AME2020 atomic mass evaluation. For alpha decay (N = 698 total): ρ = 0.903 and R² = 0.720 for the Trans-Pb region (Z </span></em><em><span><span>³</span></span></em><em><span> 83, N=485). For the beta log ft class averages, the 2nd-forbidden unique class achieves a deviation of only −0.018 logft units between prediction and empirical mean; the Allowed class overestimates by +0.527 units. For drip-line unbound states, T½<sub>exp</sub> ≥ T½<sub>topo</sub> is satisfied in all 12 cases with measured resonance widths (median ratio = 56.3). The T-DFT framework isolates the natural attempt frequency, revealing that neutron emitters (delayed only by centrifugal barriers) exhibit a mean delay of 22.3×, while proton emitters (experiencing additional Coulomb suppression) show a mean delay of 70.8×, in perfect agreement with classical barrier penetrability.</span></em></p> |
| title | Topological Vacuum Constraints on Nuclear Decay Rates: An Empirical Assessment of the T-DFT Hypothesis |
| topic | Topological constraints Nuclear decay rates Gamow-Teller quenching Alpha preformation Nuclear drip lines SU(3) vacuum |
| url | https://doi.org/10.5281/zenodo.19443070 |