Atomic Systems with Bound States of Fermions in the Schwarzschild, Reissner–Nordström Fields as Candidates for the Role of Dark Matters Particles
| Autor: | V. P. Neznamov, V. E. Shemarulin, I. I. Safronov |
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| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Event horizon High Energy Physics::Lattice Dark matter Fermion Compton wavelength General Relativity and Quantum Cosmology symbols.namesake Dirac equation Quantum electrodynamics symbols Wave function Schwarzschild radius Stationary state |
| Zdroj: | Physics of Particles and Nuclei. 49:520-524 |
| ISSN: | 1531-8559 1063-7796 |
| DOI: | 10.1134/s106377961804041x |
| Popis: | After transition from the Dirac equation to the Schr\"{o}dinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordstr\"{o}m (RN) fields, the existence of the stationary state of fermions with real square-integrable radial wave functions is proved. The fermions are localized near the event horizon within the range from zero to several fractions or a few units of the Compton wavelength of a fermion as a function of the gravitational and electromagnetic coupling constants and the angular and orbital momenta j,l. Electrically neutral atomic-type systems (Schwarzschild and RN collapsars with fermions in bound states) are proposed as particles of dark matter. Comment: 10 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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