Glauber Amplitudes in Charged Particle Hydrogen Atom Collisions
The Glauber scattering amplitudes for the excitation of the ns and np levels of atomic hydrogen by electrons (or protons) incident upon the ground state have been obtained in closed form. In contradistinction to previously quoted results, these new expressions require no numerical integration. For s...
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| Veröffentlicht in: | J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971) 1567-76(Aug 1971), 1971-08, Vol.12 (8), p.1567-1576 |
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| container_title | J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971) |
| container_volume | 12 |
| creator | Thomas, Brian K. Gerjuoy, E. |
| description | The Glauber scattering amplitudes for the excitation of the ns and np levels of atomic hydrogen by electrons (or protons) incident upon the ground state have been obtained in closed form. In contradistinction to previously quoted results, these new expressions require no numerical integration. For small n, the amplitudes reduce to simple sums of hypergeometric functions. Hence the Glauber amplitudes for these transitions now can be computed with scarcely more difficulty than the Born amplitudes. A selection rule for arbitrary transitions is derived. |
| doi_str_mv | 10.1063/1.1665774 |
| format | Article |
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In contradistinction to previously quoted results, these new expressions require no numerical integration. For small n, the amplitudes reduce to simple sums of hypergeometric functions. Hence the Glauber amplitudes for these transitions now can be computed with scarcely more difficulty than the Born amplitudes. A selection rule for arbitrary transitions is derived.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.1665774</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><subject>ATOMS ; ELECTRON BEAMS ; ELECTRONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T) ; EXCITATION ; GLAUBER THEORY ; HYDROGEN ; HYDROGEN/electron reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T) ; HYDROGEN/proton reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T) ; N32240 -Physics-Atomic & Molecular Physics-Collision Phenomena ; PROTON BEAMS ; PROTONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T) ; SCATTERING AMPLITUDE</subject><ispartof>J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971), 1971-08, Vol.12 (8), p.1567-1576</ispartof><rights>The American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c390t-6dc276e7d02c2ce070b2bfa0dd8d51b8af304673ad0963b72d5924b487e522cc3</citedby><cites>FETCH-LOGICAL-c390t-6dc276e7d02c2ce070b2bfa0dd8d51b8af304673ad0963b72d5924b487e522cc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.1665774$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,778,782,883,1556,27907,27908,76141</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/4737851$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Thomas, Brian K.</creatorcontrib><creatorcontrib>Gerjuoy, E.</creatorcontrib><creatorcontrib>Univ. of Pittsburgh</creatorcontrib><title>Glauber Amplitudes in Charged Particle Hydrogen Atom Collisions</title><title>J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971)</title><description>The Glauber scattering amplitudes for the excitation of the ns and np levels of atomic hydrogen by electrons (or protons) incident upon the ground state have been obtained in closed form. In contradistinction to previously quoted results, these new expressions require no numerical integration. For small n, the amplitudes reduce to simple sums of hypergeometric functions. Hence the Glauber amplitudes for these transitions now can be computed with scarcely more difficulty than the Born amplitudes. A selection rule for arbitrary transitions is derived.</description><subject>ATOMS</subject><subject>ELECTRON BEAMS</subject><subject>ELECTRONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T)</subject><subject>EXCITATION</subject><subject>GLAUBER THEORY</subject><subject>HYDROGEN</subject><subject>HYDROGEN/electron reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T)</subject><subject>HYDROGEN/proton reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T)</subject><subject>N32240 -Physics-Atomic & Molecular Physics-Collision Phenomena</subject><subject>PROTON BEAMS</subject><subject>PROTONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T)</subject><subject>SCATTERING AMPLITUDE</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1971</creationdate><recordtype>article</recordtype><recordid>eNp90EFLwzAYxvEgCs7pwW8QvClU36Rpkp5kFN2EgR70HNIk3SJdM5JM2Ld3Y0MPgqf38uMP74PQNYF7Arx8IPeE80oIdoJGBGRdCF7JUzQCoLSgTMpzdJHSJwAhkrERepz2etO6iCerde_zxrqE_YCbpY4LZ_Gbjtmb3uHZ1sawcAOe5LDCTeh7n3wY0iU663Sf3NXxjtHH89N7Myvmr9OXZjIvTFlDLrg1VHAnLFBDjQMBLW07DdZKW5FW6q4ExkWpLdS8bAW1VU1Zy6RwFaXGlGN0c-iGlL1KxmdnliYMgzNZMVEKWZEduj0gE0NK0XVqHf1Kx60ioPbzKKKO8-zs3cHuWzrvfvnBXyH-QrW23X_4b_kby1dyiQ</recordid><startdate>197108</startdate><enddate>197108</enddate><creator>Thomas, Brian K.</creator><creator>Gerjuoy, E.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>197108</creationdate><title>Glauber Amplitudes in Charged Particle Hydrogen Atom Collisions</title><author>Thomas, Brian K. ; Gerjuoy, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c390t-6dc276e7d02c2ce070b2bfa0dd8d51b8af304673ad0963b72d5924b487e522cc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1971</creationdate><topic>ATOMS</topic><topic>ELECTRON BEAMS</topic><topic>ELECTRONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T)</topic><topic>EXCITATION</topic><topic>GLAUBER THEORY</topic><topic>HYDROGEN</topic><topic>HYDROGEN/electron reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T)</topic><topic>HYDROGEN/proton reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T)</topic><topic>N32240 -Physics-Atomic & Molecular Physics-Collision Phenomena</topic><topic>PROTON BEAMS</topic><topic>PROTONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T)</topic><topic>SCATTERING AMPLITUDE</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Thomas, Brian K.</creatorcontrib><creatorcontrib>Gerjuoy, E.</creatorcontrib><creatorcontrib>Univ. of Pittsburgh</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Thomas, Brian K.</au><au>Gerjuoy, E.</au><aucorp>Univ. of Pittsburgh</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Glauber Amplitudes in Charged Particle Hydrogen Atom Collisions</atitle><jtitle>J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971)</jtitle><date>1971-08</date><risdate>1971</risdate><volume>12</volume><issue>8</issue><spage>1567</spage><epage>1576</epage><pages>1567-1576</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>The Glauber scattering amplitudes for the excitation of the ns and np levels of atomic hydrogen by electrons (or protons) incident upon the ground state have been obtained in closed form. In contradistinction to previously quoted results, these new expressions require no numerical integration. For small n, the amplitudes reduce to simple sums of hypergeometric functions. Hence the Glauber amplitudes for these transitions now can be computed with scarcely more difficulty than the Born amplitudes. A selection rule for arbitrary transitions is derived.</abstract><doi>10.1063/1.1665774</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | J. Math. Phys. (N. Y.) 12: No. 8, 1567-76(Aug 1971), 1971-08, Vol.12 (8), p.1567-1576 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_1665774 |
| source | AIP Digital Archive |
| subjects | ATOMS ELECTRON BEAMS ELECTRONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T) EXCITATION GLAUBER THEORY HYDROGEN HYDROGEN/electron reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T) HYDROGEN/proton reactions with atomic, Glauber amplitudes for excitation of ns and np levels in, (T) N32240 -Physics-Atomic & Molecular Physics-Collision Phenomena PROTON BEAMS PROTONS/reactions with hydrogen atoms, Glauber amplitudes for excitation of ns and np levels in, (T) SCATTERING AMPLITUDE |
| title | Glauber Amplitudes in Charged Particle Hydrogen Atom Collisions |
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