2023/05/15 by P. Grashin, Grashin, P., К. А. Свешников +1 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.2305.08984
openalex publication_date 2023/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Spontaneous positron emission, caused by the supercritical Coulomb source with charge Z and size R, is explored in essentially non-perturbative approach with emphasis on the VP-energy \cal EVP, considered as a function of the Coulomb source parameters Z and R. The specific contribution to \cal EVP, which appears in the supercritical case due to direct Coulomb interaction between VP-charge densities \varrhoVP(r), is outlined and studied in detail. It is shown that after first levels diving into the lower continuum this contribution, being properly renormalized, turns out to be negative in contrast to the classical electrostatics and so could play an important role in spontaneous emission, especially for Z just above the first Zcr,1. The additional problems of spontaneous emission, caused by the lepton number conservation, are also discussed.