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What happens when Z > 1/α = 137? When nucleus radius is accounted for, the square root singularity is resolved, with growing Z ground state energy becomes negative [2]. At Z = Zcr ≈ 175 ground state energy dives into lower continuum of the Dirac equation, E0 becomes less than −m. As soon as a nucleus with Z > Zcr is formed, spontaneous production of e+e− pairs occurs; positrons are radiated to spatial infinity and can be detected while electrons are captured by the nucleus. Naked supercritical nucleus is screened by electrons [3], [4], [5], [6], [7].

Resonances in positron scattering on a supercritical nucleus and spontaneous production of e+e- pairs

Resonances in positron scattering on a supercritical nucleus and spontaneous production of e⁺e^- pairs