The alpha (2e+4p) is RealNucleus's tight closed cluster. Here it is preformed inside the nucleus, striking
the Coulomb barrier at the fast assault frequency f ~ 1021 Hz, and tunnelling out
with the Gamow factor P=e−2G. Rate λ=f·P. Crucially the rare factor P is
Coulomb physics the model owns — so unlike beta decay (whose small parameter is the weak coupling
GF), alpha decay's timescale is reachable. The 30-order slowness comes from the exponentially small P.
Controls
Geiger–Nuttall: log t½ vs Z/√Q
Coulomb barrier & tunnelling
Half-lives: computed (Coulomb + Gamow) vs measured