Motion of spin-half particles in the axially symmetric field of naked singularities of the static q-metric
- Authors: Neznamov V.P.1,2, Shemarulin V.E.1
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Affiliations:
- Russian Federal Nuclear Center—All-Russia Research Institute of Experimental Physics
- National Research Nuclear University MEPhI
- Issue: Vol 23, No 2 (2017)
- Pages: 149-161
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176077
- DOI: https://doi.org/10.1134/S0202289317020050
- ID: 176077
Cite item
Abstract
Quantum-mechanical motion of a spin-half particle is examined in the axially symmetric fields of static naked singularities formed by a mass distribution with a quadrupole moment (q-metric). The analysis is performed by means of the method of effective potentials of the Dirac equation generalized to the case where radial and angular variables are not separated. If −1 < q < qlim, |qlim| ≪ 1, where q is the quadrupolemoment in proper units, the naked singularities do not exclude the existence of stationary bound states of Dirac particles for a prolate mass distribution in the q-metric along the axial axis. For an oblate mass distribution, the naked singularities of the q-metric are separated from a Dirac particle by infinitely large repulsive barriers followed by a potential well which deepens while moving apart from the equator (from θ = θmin or θ = π − θmin) toward the poles. The poles make an exception, and at 0 < q < q*, there are some points θi for particle states with j ≥ 3/2.
About the authors
V. P. Neznamov
Russian Federal Nuclear Center—All-Russia Research Institute of Experimental Physics; National Research Nuclear University MEPhI
Author for correspondence.
Email: neznamov@vniief.ru
Russian Federation, Prospekt Mira 37, Sarov, Nizhny Novgorod region, 607188; Moscow, 115409
V. E. Shemarulin
Russian Federal Nuclear Center—All-Russia Research Institute of Experimental Physics
Email: neznamov@vniief.ru
Russian Federation, Prospekt Mira 37, Sarov, Nizhny Novgorod region, 607188