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arXiv · 1808.07052

Atomic systems with bound states of fermions in the Schwarzschild, Reissner-Nordstr\"{o}m fields as candidates for the role of dark matters particles

V. P. Neznamov·I. I. Safronov·V. E. Shemarulin
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Abstract

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.

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V. P. Neznamov, I. I. Safronov, V. E. Shemarulin. 2018-08-21. Atomic systems with bound states of fermions in the Schwarzschild, Reissner-Nordstr\"{o}m fields as candidates for the role of dark matters particles. https://doi.org/10.1134/s106377961804041x

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