Glory scattering by black holes
We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup...
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| Veröffentlicht in: | Phys. Rev. D; (United States) 1985-04, Vol.31 (8), p.1869-1878 |
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| container_title | Phys. Rev. D; (United States) |
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| creator | MATZNER, R. A DEWITTE-MORETTE, C NELSON, B TIAN-RONG ZHANG |
| description | We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup -1/B/sub g/ /sup 2/(dB mW..pi.., where lambda is the wavelength, B(theta) is the inverse of the classical deflection function CTHETA(B), B/sub g/ is the glory impact parameter, s is the helicity of the scattered wave, and J/sub 2s/ is the Bessel function of order 2s. The glory rings formed by scalar waves are bright at the center; those formed by polarized waves are dark at the center. For scattering of massless particles by a spherical black hole of mass M, B(theta)/Mapprox.3 ..sqrt..3 + 3.48 exp(-theta), theta > owig..pi... The numerical values of dsigma/d..cap omega.. for this deflection function are found to agree with earlier computer calculations of glory cross sections from black holes. |
| doi_str_mv | 10.1103/PhysRevD.31.1869 |
| format | Article |
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A ; DEWITTE-MORETTE, C ; NELSON, B ; TIAN-RONG ZHANG</creator><creatorcontrib>MATZNER, R. A ; DEWITTE-MORETTE, C ; NELSON, B ; TIAN-RONG ZHANG ; Relativity Center and Department of Physics, University of Texas, Austin, Texas 78712</creatorcontrib><description>We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup -1/B/sub g/ /sup 2/(dB mW..pi.., where lambda is the wavelength, B(theta) is the inverse of the classical deflection function CTHETA(B), B/sub g/ is the glory impact parameter, s is the helicity of the scattered wave, and J/sub 2s/ is the Bessel function of order 2s. The glory rings formed by scalar waves are bright at the center; those formed by polarized waves are dark at the center. For scattering of massless particles by a spherical black hole of mass M, B(theta)/Mapprox.3 ..sqrt..3 + 3.48 exp(-theta), theta > owig..pi... The numerical values of dsigma/d..cap omega.. for this deflection function are found to agree with earlier computer calculations of glory cross sections from black holes.</description><identifier>ISSN: 0556-2821</identifier><identifier>EISSN: 1089-4918</identifier><identifier>DOI: 10.1103/PhysRevD.31.1869</identifier><identifier>PMID: 9955914</identifier><identifier>CODEN: PRVDAQ</identifier><language>eng</language><publisher>Ridge, NY: American Physical Society</publisher><subject>640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources ; 645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties ; ANGULAR DISTRIBUTION ; BESSEL FUNCTIONS ; BLACK HOLES ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Classical general relativity ; CROSS SECTIONS ; DISTRIBUTION ; ELECTROMAGNETIC RADIATION ; ELEMENTARY PARTICLES ; Exact sciences and technology ; FEYNMAN PATH INTEGRAL ; FUNCTIONS ; General relativity and gravitation ; HELICITY ; INTEGRALS ; MASSLESS PARTICLES ; PARTICLE PROPERTIES ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; RADIATIONS ; SCATTERING ; SCHWARZSCHILD RADIUS ; VISIBLE RADIATION</subject><ispartof>Phys. 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A</creatorcontrib><creatorcontrib>DEWITTE-MORETTE, C</creatorcontrib><creatorcontrib>NELSON, B</creatorcontrib><creatorcontrib>TIAN-RONG ZHANG</creatorcontrib><creatorcontrib>Relativity Center and Department of Physics, University of Texas, Austin, Texas 78712</creatorcontrib><title>Glory scattering by black holes</title><title>Phys. Rev. D; (United States)</title><addtitle>Phys Rev D Part Fields</addtitle><description>We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup -1/B/sub g/ /sup 2/(dB mW..pi.., where lambda is the wavelength, B(theta) is the inverse of the classical deflection function CTHETA(B), B/sub g/ is the glory impact parameter, s is the helicity of the scattered wave, and J/sub 2s/ is the Bessel function of order 2s. The glory rings formed by scalar waves are bright at the center; those formed by polarized waves are dark at the center. For scattering of massless particles by a spherical black hole of mass M, B(theta)/Mapprox.3 ..sqrt..3 + 3.48 exp(-theta), theta > owig..pi... 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A ; DEWITTE-MORETTE, C ; NELSON, B ; TIAN-RONG ZHANG</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c354t-9a493c430a990a909af269031b519fe85d7a741c8f6e56e8441e54ea933bfd053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources</topic><topic>645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties</topic><topic>ANGULAR DISTRIBUTION</topic><topic>BESSEL FUNCTIONS</topic><topic>BLACK HOLES</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Classical general relativity</topic><topic>CROSS SECTIONS</topic><topic>DISTRIBUTION</topic><topic>ELECTROMAGNETIC RADIATION</topic><topic>ELEMENTARY PARTICLES</topic><topic>Exact sciences and technology</topic><topic>FEYNMAN PATH INTEGRAL</topic><topic>FUNCTIONS</topic><topic>General relativity and gravitation</topic><topic>HELICITY</topic><topic>INTEGRALS</topic><topic>MASSLESS PARTICLES</topic><topic>PARTICLE PROPERTIES</topic><topic>Physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>RADIATIONS</topic><topic>SCATTERING</topic><topic>SCHWARZSCHILD RADIUS</topic><topic>VISIBLE RADIATION</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>MATZNER, R. A</creatorcontrib><creatorcontrib>DEWITTE-MORETTE, C</creatorcontrib><creatorcontrib>NELSON, B</creatorcontrib><creatorcontrib>TIAN-RONG ZHANG</creatorcontrib><creatorcontrib>Relativity Center and Department of Physics, University of Texas, Austin, Texas 78712</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Phys. Rev. D; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MATZNER, R. A</au><au>DEWITTE-MORETTE, C</au><au>NELSON, B</au><au>TIAN-RONG ZHANG</au><aucorp>Relativity Center and Department of Physics, University of Texas, Austin, Texas 78712</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Glory scattering by black holes</atitle><jtitle>Phys. Rev. D; (United States)</jtitle><addtitle>Phys Rev D Part Fields</addtitle><date>1985-04-15</date><risdate>1985</risdate><volume>31</volume><issue>8</issue><spage>1869</spage><epage>1878</epage><pages>1869-1878</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><coden>PRVDAQ</coden><abstract>We present a physically motivated derivation of the JWKB backward glory-scattering cross section of massless waves by Schwarzschild black holes. The angular dependence of the cross section is identical with the one derived by path integration, namely, dsigma/d..cap omega.. = 4..pi../sup 2/lambda/sup -1/B/sub g/ /sup 2/(dB mW..pi.., where lambda is the wavelength, B(theta) is the inverse of the classical deflection function CTHETA(B), B/sub g/ is the glory impact parameter, s is the helicity of the scattered wave, and J/sub 2s/ is the Bessel function of order 2s. The glory rings formed by scalar waves are bright at the center; those formed by polarized waves are dark at the center. For scattering of massless particles by a spherical black hole of mass M, B(theta)/Mapprox.3 ..sqrt..3 + 3.48 exp(-theta), theta > owig..pi... The numerical values of dsigma/d..cap omega.. for this deflection function are found to agree with earlier computer calculations of glory cross sections from black holes.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>9955914</pmid><doi>10.1103/PhysRevD.31.1869</doi><tpages>10</tpages></addata></record> |
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| language | eng |
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| subjects | 640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources 645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties ANGULAR DISTRIBUTION BESSEL FUNCTIONS BLACK HOLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical general relativity CROSS SECTIONS DISTRIBUTION ELECTROMAGNETIC RADIATION ELEMENTARY PARTICLES Exact sciences and technology FEYNMAN PATH INTEGRAL FUNCTIONS General relativity and gravitation HELICITY INTEGRALS MASSLESS PARTICLES PARTICLE PROPERTIES Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS RADIATIONS SCATTERING SCHWARZSCHILD RADIUS VISIBLE RADIATION |
| title | Glory scattering by black holes |
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