Ambiguities in strong absorptionlike [ital S] functions and in the corresponding potentials for heavy-ion collisions
A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 1449 MeV [sup 12]C ions off of [sup 208]Pb and of 1503 MeV [sup 16]O ions off of [sup 12]C. Excellent, statistically significant, fits to...
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Veröffentlicht in: | Physical review. C, Nuclear physics Nuclear physics, 1995-02, Vol.51:2 |
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creator | Steward, C. Fiedeldey, H. Amos, K. Allen, L.J. |
description | A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 1449 MeV [sup 12]C ions off of [sup 208]Pb and of 1503 MeV [sup 16]O ions off of [sup 12]C. Excellent, statistically significant, fits to the [sup 12]C-[sup 208]Pb experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. There are corresponding diverse interaction potentials. To fit the [sup 16]O-[sup 12]C data, a Regge pole term was needed to supplement the McIntyre form. Inversion of those scattering functions resulted in interaction potentials that vary noticeably within the sensitive radial regions. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range for the [sup 12]C-[sup 208]Pb collision vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small. |
doi_str_mv | 10.1103/PhysRevC.51.836 |
format | Article |
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Excellent, statistically significant, fits to the [sup 12]C-[sup 208]Pb experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. There are corresponding diverse interaction potentials. To fit the [sup 16]O-[sup 12]C data, a Regge pole term was needed to supplement the McIntyre form. Inversion of those scattering functions resulted in interaction potentials that vary noticeably within the sensitive radial regions. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range for the [sup 12]C-[sup 208]Pb collision vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small.</description><identifier>ISSN: 0556-2813</identifier><identifier>EISSN: 1089-490X</identifier><identifier>DOI: 10.1103/PhysRevC.51.836</identifier><language>eng</language><publisher>United States</publisher><subject>663450 -- Heavy-Ion-Induced Reactions & Scattering-- (1992-) ; CARBON 12 REACTIONS ; CARBON 12 TARGET ; CHARGED-PARTICLE REACTIONS ; CROSS SECTIONS ; DIFFERENTIAL CROSS SECTIONS ; DIFFERENTIAL EQUATIONS ; ELASTIC SCATTERING ; ENERGY RANGE ; EQUATIONS ; GEV RANGE ; GEV RANGE 01-10 ; HEAVY ION REACTIONS ; INVERSE SCATTERING PROBLEM ; LEAD 208 TARGET ; NUCLEAR PHYSICS AND RADIATION PHYSICS ; NUCLEAR REACTIONS ; OPTICAL MODELS ; OXYGEN 16 REACTIONS ; PARTIAL DIFFERENTIAL EQUATIONS ; POTENTIALS ; REGGE POLES ; SCATTERING ; SCHROEDINGER EQUATION ; SEMICLASSICAL APPROXIMATION ; TARGETS ; WAVE EQUATIONS 663300 -- Nuclear Reactions & Scattering, General-- (1992-) ; WKB APPROXIMATION</subject><ispartof>Physical review. 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C, Nuclear physics</title><description>A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 1449 MeV [sup 12]C ions off of [sup 208]Pb and of 1503 MeV [sup 16]O ions off of [sup 12]C. Excellent, statistically significant, fits to the [sup 12]C-[sup 208]Pb experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. There are corresponding diverse interaction potentials. To fit the [sup 16]O-[sup 12]C data, a Regge pole term was needed to supplement the McIntyre form. Inversion of those scattering functions resulted in interaction potentials that vary noticeably within the sensitive radial regions. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range for the [sup 12]C-[sup 208]Pb collision vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small.</description><subject>663450 -- Heavy-Ion-Induced Reactions & Scattering-- (1992-)</subject><subject>CARBON 12 REACTIONS</subject><subject>CARBON 12 TARGET</subject><subject>CHARGED-PARTICLE REACTIONS</subject><subject>CROSS SECTIONS</subject><subject>DIFFERENTIAL CROSS SECTIONS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>ELASTIC SCATTERING</subject><subject>ENERGY RANGE</subject><subject>EQUATIONS</subject><subject>GEV RANGE</subject><subject>GEV RANGE 01-10</subject><subject>HEAVY ION REACTIONS</subject><subject>INVERSE SCATTERING PROBLEM</subject><subject>LEAD 208 TARGET</subject><subject>NUCLEAR PHYSICS AND RADIATION PHYSICS</subject><subject>NUCLEAR REACTIONS</subject><subject>OPTICAL MODELS</subject><subject>OXYGEN 16 REACTIONS</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>POTENTIALS</subject><subject>REGGE POLES</subject><subject>SCATTERING</subject><subject>SCHROEDINGER EQUATION</subject><subject>SEMICLASSICAL APPROXIMATION</subject><subject>TARGETS</subject><subject>WAVE EQUATIONS 663300 -- Nuclear Reactions & Scattering, General-- (1992-)</subject><subject>WKB APPROXIMATION</subject><issn>0556-2813</issn><issn>1089-490X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNqNi01LAzEURYMoOH6s3T7cz5gYJ50upSguRV0UipQ0zXSexmTIey3035sBf4B3c-Hec4S4UbJRSuq71-FIb_6waFrVdNqciErJbl4_zOXyVFSybU193yl9Li6IvmSJ1qYS_Pizwd0eGT0BRiDOKe7AbijlkTHFgN8eVsg2wPsn9PvoppXAxu3E8-DBpZw9jSlusahjYh8ZbSDoU4bB28OxLkrBQkCa5Ctx1pffX__1pbh9fvpYvNSJGNfkkL0bXIrRO16bdjZT0uh_Qb-tB1T7</recordid><startdate>19950201</startdate><enddate>19950201</enddate><creator>Steward, C.</creator><creator>Fiedeldey, H.</creator><creator>Amos, K.</creator><creator>Allen, L.J.</creator><scope>OTOTI</scope></search><sort><creationdate>19950201</creationdate><title>Ambiguities in strong absorptionlike [ital S] functions and in the corresponding potentials for heavy-ion collisions</title><author>Steward, C. ; Fiedeldey, H. ; Amos, K. ; Allen, L.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-osti_scitechconnect_65771063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>663450 -- Heavy-Ion-Induced Reactions & Scattering-- (1992-)</topic><topic>CARBON 12 REACTIONS</topic><topic>CARBON 12 TARGET</topic><topic>CHARGED-PARTICLE REACTIONS</topic><topic>CROSS SECTIONS</topic><topic>DIFFERENTIAL CROSS SECTIONS</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>ELASTIC SCATTERING</topic><topic>ENERGY RANGE</topic><topic>EQUATIONS</topic><topic>GEV RANGE</topic><topic>GEV RANGE 01-10</topic><topic>HEAVY ION REACTIONS</topic><topic>INVERSE SCATTERING PROBLEM</topic><topic>LEAD 208 TARGET</topic><topic>NUCLEAR PHYSICS AND RADIATION PHYSICS</topic><topic>NUCLEAR REACTIONS</topic><topic>OPTICAL MODELS</topic><topic>OXYGEN 16 REACTIONS</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>POTENTIALS</topic><topic>REGGE POLES</topic><topic>SCATTERING</topic><topic>SCHROEDINGER EQUATION</topic><topic>SEMICLASSICAL APPROXIMATION</topic><topic>TARGETS</topic><topic>WAVE EQUATIONS 663300 -- Nuclear Reactions & Scattering, General-- (1992-)</topic><topic>WKB APPROXIMATION</topic><toplevel>online_resources</toplevel><creatorcontrib>Steward, C.</creatorcontrib><creatorcontrib>Fiedeldey, H.</creatorcontrib><creatorcontrib>Amos, K.</creatorcontrib><creatorcontrib>Allen, L.J.</creatorcontrib><collection>OSTI.GOV</collection><jtitle>Physical review. C, Nuclear physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Steward, C.</au><au>Fiedeldey, H.</au><au>Amos, K.</au><au>Allen, L.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Ambiguities in strong absorptionlike [ital S] functions and in the corresponding potentials for heavy-ion collisions</atitle><jtitle>Physical review. C, Nuclear physics</jtitle><date>1995-02-01</date><risdate>1995</risdate><volume>51:2</volume><issn>0556-2813</issn><eissn>1089-490X</eissn><abstract>A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 1449 MeV [sup 12]C ions off of [sup 208]Pb and of 1503 MeV [sup 16]O ions off of [sup 12]C. Excellent, statistically significant, fits to the [sup 12]C-[sup 208]Pb experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. There are corresponding diverse interaction potentials. To fit the [sup 16]O-[sup 12]C data, a Regge pole term was needed to supplement the McIntyre form. Inversion of those scattering functions resulted in interaction potentials that vary noticeably within the sensitive radial regions. In addition, conventional optical model potentials have been obtained with which direct solution of the Schroedinger equations result in similar excellent fits to the data. It is shown that these large ambiguities in the potentials are due, in the main, to the limited angular range of the cross-section data and although the corresponding cross-section shapes beyond the measured scattering angle range for the [sup 12]C-[sup 208]Pb collision vary over many orders of magnitude, it is unlikely that experiments can be made sensitive enough to select from among them because those cross sections are so small.</abstract><cop>United States</cop><doi>10.1103/PhysRevC.51.836</doi></addata></record> |
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source | American Physical Society Journals |
subjects | 663450 -- Heavy-Ion-Induced Reactions & Scattering-- (1992-) CARBON 12 REACTIONS CARBON 12 TARGET CHARGED-PARTICLE REACTIONS CROSS SECTIONS DIFFERENTIAL CROSS SECTIONS DIFFERENTIAL EQUATIONS ELASTIC SCATTERING ENERGY RANGE EQUATIONS GEV RANGE GEV RANGE 01-10 HEAVY ION REACTIONS INVERSE SCATTERING PROBLEM LEAD 208 TARGET NUCLEAR PHYSICS AND RADIATION PHYSICS NUCLEAR REACTIONS OPTICAL MODELS OXYGEN 16 REACTIONS PARTIAL DIFFERENTIAL EQUATIONS POTENTIALS REGGE POLES SCATTERING SCHROEDINGER EQUATION SEMICLASSICAL APPROXIMATION TARGETS WAVE EQUATIONS 663300 -- Nuclear Reactions & Scattering, General-- (1992-) WKB APPROXIMATION |
title | Ambiguities in strong absorptionlike [ital S] functions and in the corresponding potentials for heavy-ion collisions |
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