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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20060563 |
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Table of Contents:
- <p class="MsoNormal"><span>The primary factor in decay is the (in)stability of the internal structure of nuclei or particles (e.g., topological linking energy, barrier height, excitation energy), while external vacuum quantum oscillations provide only the time scale and fluctuation driving. Based on the time definition dt = dn/f_exp in the Ring Quantum Model, the decay time can be written as </span><span>τ </span><span>= N_c/f_exp, where f_exp = c/R_0 is the vacuum quantum oscillation frequency, and N_c is the average number of oscillations required to reach the critical condition, determined entirely by internal factors. Starting from ring model parameters, this paper estimates or qualitatively analyzes N_c for </span><span>γ</span><span>, </span><span>α</span><span>, and </span><span>β </span><span>decays: for </span><span>γ </span><span>decay, N_c is determined by the ring's vibrational quality factor (estimated </span><span>τ </span><span>~ 10</span><span>⁻¹³ </span><span>s); for </span><span>α </span><span>decay, N_c is determined by the WKB tunneling probability (deriving the Geiger-Nuttall law, with theoretical slope agreeing with experiment); for </span><span>β </span><span>decay, the free neutron lifetime calibrates N_c = 1.32</span><span>×</span><span>10</span><span>²⁴</span><span>. Furthermore, the ring model is extended to </span><span>β </span><span>decay in nuclear environments for the first time, proposing a geometric blocking interpretation of gA quenching: surrounding nucleon rings inside the nucleus physically block the direction of antineutrino link rupture, reducing the effective axial-vector coupling constant from its free value of 1.276 to about 1.0. This model requires only a single geometric parameter consistent with the nucleon radius to quantitatively reproduce the quenching factor in the heavy nucleus region, and predicts the nuclear region dependence, surface-interior gradient, deformation anisotropy, and positive correlation with short-range correlations. This framework unifies decay theory and nuclear structure effects in geometric language, providing a new perspective for understanding nuclear environment modifications of weak interactions.</span></p>