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arXiv 1808.07052gr-qchep-th
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作为暗物质粒子候选者的Schwarzschild,Reissner-Nordström场中费米子束缚态的原子系统

Atomic systems with bound states of fermions in the Schwarzschild, Reissner-Nordström fields as candidates for the role of dark matters particles

V. P. Neznamov, I. I. Safronov, V. E. Shemarulin

摘要:

从Dirac方程过渡到Schwarzschild场和Reissner-Nordström(RN)场的薛定谔型相对论方程后,证明了具有实平方可积径向波函数的费米子定态的存在性.费米子局域在事件视界附近,范围从0到费米子康普顿波长的几个分数或几个单位,作为引力和电磁耦合常数以及角动量和轨道动量j,l的函数。电中性的原子型系统(史瓦西和RN束缚态的费米子)被认为是暗物质的粒子。

英文摘要:

After transition from the Dirac equation to the Schrödinger-type relativistic equation with effective potentials of the Schwarzschild and Reissner-Nordström (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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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