{"paper":{"title":"Resonances in positron scattering on a supercritical nucleus and spontaneous production of $e^{+}e^{-}$ pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"B. Machet, M.I. Vysotsky, S.I. Godunov","submitted_at":"2017-07-24T11:46:05Z","abstract_excerpt":"We re-examine the physics of supercritical nuclei, specially focusing on the scattering phase $\\delta_{\\varkappa}$ and its dependence on the energy $\\varepsilon$ of the diving electronic level, for which we give both exact and approximate formulas. The Coulomb potential $Z\\alpha/r$ is rounded to the constant $Z\\alpha/R$ for $r < R$. We confirm the resonant behavior of $\\delta_{\\varkappa}$ that we investigate in details. In addition to solving the Dirac equation for an electron, we solve it for a positron, in the field of the same nucleus. This clarifies the interpretation of the resonances. Ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07497","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}