Other
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ctep.conf..170g&link_type=abstract
Contemporary theoretical and experimental problems of General Relativity and Gravitation, Moscow, Moscow State University, MSU P
Other
General Relativity, Reissner - Nordstrom Gravitational And Elctromagnetic Fields, Quantum Mechanics, Klein - Gordon Equation, Dirac Equation, Scattering, Absorption, Diffraction, Polarisation
Scientific paper
The quantum mechanics of the scattering and absorption of mass, electrically charged particles in the Reissner-Nordstrom central fields is considered, with the taking in account of the boundary conditions at the events horizon. The obtained results shown, that the differential scattering cross section for small angles has Rutherfordian character, independently of the energy of particles and the parameters of the central body, except for the case, when the gravitational attraction is compensated by the electric repulsion. When long wavelength particles scatter by a small and weekly charged black hole ("Gravitational radius"/" particles wavelength" ~Z"alpha"<<1) the cross section [1], with Rutherfordian dependence on the scattering angle, is well describing the angular dependence of the scattering at arbitrary angles. The influence of the particles absorption by a black hole on the elstic scattering cross section is small. Meanwhile, the absorption of particles leads to polarisation effects for spin particles, with the polarisation vector perpendicular to the scattering plane [2]. The polarisation degree is proportional to the gravitational radius and inverse proportional to the particles wavelength and, if the wavelength is comparable with the gravitational radius, they become significant. In the same case the absorption cross section for spin particles is significantly differing from the similar characteristics for the scalar particles and do not change the sign, when the superradiation condition holds. In another, short wavelength case ( "Gravitational radius"/" particles wavelength" ~Z"alpha">>1), differences from the Rutherfordian cross section appear in terms ~ 1/("scattering angle"^3). In the same case the consideration of the absorption leads to week diffraction phenomena. For back scattering ("scattering angle"->"pi") a maximum of intensity should be observed, but, in the opposition with the classical examination [4], of finite magnitude. The expression obtained for the total absorption cross section by the Reissner-Nordstrom fields generalises the known results for the classical non relativistic and ultrarelativistic cross sections in the Schwarzschild field [3] and show the influence of the electromagnetic interaction.
REFERENCES:
1. Mitskievich N.V., Fizicheskie polia v obshchei teorii otnositel'nosti", Moscow, Nauka Eds., 1969;
2. Gaina A.B., A work deposed to All Union Institute for Scientific and Technical Information (VINITI), N 1970-80;
3. Zel'dovich Ya.B., Novikov I.D., Teoria tiagotenia i evoliutsia zvezd, Moscow, Nauka Eds., 1971;
4. Collins P., Delbourgo D., Williams R., J.Phys., vol.A6, p. 161, 1973
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