Gorde:
| Egile nagusia: | |
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| Formatua: | Recurso digital |
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Zenodo
2026
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.20130715 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- <p><strong>Title:</strong> Helium-4 from Continuum Collective-Coordinate Quantisation on F₂</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>The helium-4 ground state is computed via collective-coordinate quantisation (CCQ) on the F₂ flag manifold. The H=4 d3-pretzel soliton (Houghton-Manton-Sutcliffe rational-map ansatz with Faddeev-Niemi refinement; Richardson extrapolation $|H| = 3.998$) provides the classical background. Stage 1 of CCQ reveals a <b>single zero mode</b> $(J_z + T_3)/\sqrt{2}$ in the 5×5 reduced moduli-space metric — geometrically protected by the algebraic identity $L_z n = -\delta_{T_3} n$ for unit Cartan vectors. The 8-coordinate moduli space reduces to a 4-dimensional gauge-fixed effective space with three programme-distinctive features: (i) <b>universal mass spectrum</b> $I_4 / I_{T_8} = 6/5$ at LO chiral order (or $2/3$ with NLO Berger weighting), (ii) <b>emergent SO(2) symmetry</b> of the ⁴He nuclear ground state (testable in electron scattering form factors), (iii) <b>HMS_FN structural theorem</b> $n^{(3)}_z = 0$ pointwise to floating-point precision. Stage 2 numerical Schrödinger solve on the 4-dim moduli is computationally tractable (~$32^4$ grid, ~10-30 min wall) with concrete predictions for ⁴He binding ($\sim 28$ MeV target), charge radius ($\sim 1.7$ fm), and a low-lying rotational excitation at $\sim 1$ MeV. The framework extends universally to all F₂ nuclear isotopes (⁵He, ⁶Li, ⁷Li, ⁸Be tested for universal mass scales).</p> <p><strong>Series:</strong> Paper CXLVI in the Hopf Soliton Programme</p>