Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation
The elastic scattering cross sections for {pi}{sup +} by {sup 40}Ca have been analyzed, for the first time, using the Klein-Gordon (KG) equation that incorporates the Coulomb interaction between the charged pions and targets explicitly for the incident energies of 163.3 and 180 MeV. The nuclear part...
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| description | The elastic scattering cross sections for {pi}{sup +} by {sup 40}Ca have been analyzed, for the first time, using the Klein-Gordon (KG) equation that incorporates the Coulomb interaction between the charged pions and targets explicitly for the incident energies of 163.3 and 180 MeV. The nuclear part of the potentials is determined using an inverse scattering theory as a guide. Our results are then compared to those where the Coulomb potential has not been explicitly included in the KG equation but its effect is studied by modifying the incident kinetic energy following the prescription of Stricker. Our calculations that include the Coulomb potential in the KG equation reproduce the results using the Stricker prescription for {pi}{sup +}. The Stricker method is then used to calculate {pi}{sup -} scattering. In all cases, the data have been well accounted for. |
| doi_str_mv | 10.1063/1.3638100 |
| format | Article |
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Bary</creatorcontrib><title>Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation</title><title>AIP conference proceedings</title><description>The elastic scattering cross sections for {pi}{sup +} by {sup 40}Ca have been analyzed, for the first time, using the Klein-Gordon (KG) equation that incorporates the Coulomb interaction between the charged pions and targets explicitly for the incident energies of 163.3 and 180 MeV. The nuclear part of the potentials is determined using an inverse scattering theory as a guide. Our results are then compared to those where the Coulomb potential has not been explicitly included in the KG equation but its effect is studied by modifying the incident kinetic energy following the prescription of Stricker. Our calculations that include the Coulomb potential in the KG equation reproduce the results using the Stricker prescription for {pi}{sup +}. The Stricker method is then used to calculate {pi}{sup -} scattering. In all cases, the data have been well accounted for.</description><subject>ALKALINE EARTH ISOTOPES</subject><subject>ASYMPTOTIC SOLUTIONS</subject><subject>BARYONS</subject><subject>BOSONS</subject><subject>CALCIUM 40</subject><subject>CALCIUM 40 TARGET</subject><subject>CALCIUM ISOTOPES</subject><subject>CHARGED-PARTICLE REACTIONS</subject><subject>COULOMB FIELD</subject><subject>CROSS SECTIONS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>ELASTIC SCATTERING</subject><subject>ELECTRIC FIELDS</subject><subject>ELEMENTARY PARTICLES</subject><subject>ENERGY</subject><subject>ENERGY RANGE</subject><subject>EQUATIONS</subject><subject>EVEN-EVEN NUCLEI</subject><subject>FERMIONS</subject><subject>FIELD EQUATIONS</subject><subject>FINE STRUCTURE</subject><subject>HADRON REACTIONS</subject><subject>HADRONS</subject><subject>INVERSE SCATTERING PROBLEM</subject><subject>ISOTOPES</subject><subject>KINETIC ENERGY</subject><subject>KLEIN-GORDON EQUATION</subject><subject>LIGHT NUCLEI</subject><subject>LORENTZ TRANSFORMATIONS</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>MESON REACTIONS</subject><subject>MESONS</subject><subject>MEV RANGE</subject><subject>NUCLEAR PHYSICS AND RADIATION PHYSICS</subject><subject>NUCLEAR POTENTIAL</subject><subject>NUCLEAR REACTIONS</subject><subject>NUCLEI</subject><subject>NUCLEONS</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>PION PLUS REACTIONS</subject><subject>PION REACTIONS</subject><subject>PIONS</subject><subject>POTENTIALS</subject><subject>PSEUDOSCALAR MESONS</subject><subject>SCATTERING</subject><subject>STABLE ISOTOPES</subject><subject>TARGETS</subject><subject>TRANSFORMATIONS</subject><subject>WAVE EQUATIONS</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNjs1Kw0AUhQdRMP4sfIMLLmXqTCZN0qW0qYo77cJdGaa3zUi4U3MnQgl5Cl_YKC5cujrnwPfBEeJKq4lWubnVE5ObUit1JBI9nWpZ5Do_FolSs0ymmXk9FWfMb0qls6IoE_F5R7Y5MDKELfR7P_Tc7aG_kYPM1DC3UDWWo3fw4myM2HrawcJGC54g1ggLbMbxjBzIksOx7Xwg6PgbfKQPbBn_uqsaQ3sAS5sf_alBT_I-tJtRqt47G0f7QpxsbcN4-Zvn4npZreYPMoxP1ux8RFe7QIQurlOdqzIrCvM_6gtvNlvm</recordid><startdate>20111027</startdate><enddate>20111027</enddate><creator>Shehadeh, Zuhair F.</creator><creator>Scott, Jeremy S.</creator><creator>Malik, F. Bary</creator><scope>OTOTI</scope></search><sort><creationdate>20111027</creationdate><title>Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation</title><author>Shehadeh, Zuhair F. ; Scott, Jeremy S. ; Malik, F. Bary</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-osti_scitechconnect_216084773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>ALKALINE EARTH ISOTOPES</topic><topic>ASYMPTOTIC SOLUTIONS</topic><topic>BARYONS</topic><topic>BOSONS</topic><topic>CALCIUM 40</topic><topic>CALCIUM 40 TARGET</topic><topic>CALCIUM ISOTOPES</topic><topic>CHARGED-PARTICLE REACTIONS</topic><topic>COULOMB FIELD</topic><topic>CROSS SECTIONS</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>ELASTIC SCATTERING</topic><topic>ELECTRIC FIELDS</topic><topic>ELEMENTARY PARTICLES</topic><topic>ENERGY</topic><topic>ENERGY RANGE</topic><topic>EQUATIONS</topic><topic>EVEN-EVEN NUCLEI</topic><topic>FERMIONS</topic><topic>FIELD EQUATIONS</topic><topic>FINE STRUCTURE</topic><topic>HADRON REACTIONS</topic><topic>HADRONS</topic><topic>INVERSE SCATTERING PROBLEM</topic><topic>ISOTOPES</topic><topic>KINETIC ENERGY</topic><topic>KLEIN-GORDON EQUATION</topic><topic>LIGHT NUCLEI</topic><topic>LORENTZ TRANSFORMATIONS</topic><topic>MATHEMATICAL SOLUTIONS</topic><topic>MESON REACTIONS</topic><topic>MESONS</topic><topic>MEV RANGE</topic><topic>NUCLEAR PHYSICS AND RADIATION PHYSICS</topic><topic>NUCLEAR POTENTIAL</topic><topic>NUCLEAR REACTIONS</topic><topic>NUCLEI</topic><topic>NUCLEONS</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>PION PLUS REACTIONS</topic><topic>PION REACTIONS</topic><topic>PIONS</topic><topic>POTENTIALS</topic><topic>PSEUDOSCALAR MESONS</topic><topic>SCATTERING</topic><topic>STABLE ISOTOPES</topic><topic>TARGETS</topic><topic>TRANSFORMATIONS</topic><topic>WAVE EQUATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shehadeh, Zuhair F.</creatorcontrib><creatorcontrib>Scott, Jeremy S.</creatorcontrib><creatorcontrib>Malik, F. Bary</creatorcontrib><collection>OSTI.GOV</collection><jtitle>AIP conference proceedings</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shehadeh, Zuhair F.</au><au>Scott, Jeremy S.</au><au>Malik, F. Bary</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation</atitle><jtitle>AIP conference proceedings</jtitle><date>2011-10-27</date><risdate>2011</risdate><volume>1370</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><abstract>The elastic scattering cross sections for {pi}{sup +} by {sup 40}Ca have been analyzed, for the first time, using the Klein-Gordon (KG) equation that incorporates the Coulomb interaction between the charged pions and targets explicitly for the incident energies of 163.3 and 180 MeV. The nuclear part of the potentials is determined using an inverse scattering theory as a guide. Our results are then compared to those where the Coulomb potential has not been explicitly included in the KG equation but its effect is studied by modifying the incident kinetic energy following the prescription of Stricker. Our calculations that include the Coulomb potential in the KG equation reproduce the results using the Stricker prescription for {pi}{sup +}. The Stricker method is then used to calculate {pi}{sup -} scattering. In all cases, the data have been well accounted for.</abstract><cop>United States</cop><doi>10.1063/1.3638100</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2011-10, Vol.1370 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | ALKALINE EARTH ISOTOPES ASYMPTOTIC SOLUTIONS BARYONS BOSONS CALCIUM 40 CALCIUM 40 TARGET CALCIUM ISOTOPES CHARGED-PARTICLE REACTIONS COULOMB FIELD CROSS SECTIONS DIFFERENTIAL EQUATIONS ELASTIC SCATTERING ELECTRIC FIELDS ELEMENTARY PARTICLES ENERGY ENERGY RANGE EQUATIONS EVEN-EVEN NUCLEI FERMIONS FIELD EQUATIONS FINE STRUCTURE HADRON REACTIONS HADRONS INVERSE SCATTERING PROBLEM ISOTOPES KINETIC ENERGY KLEIN-GORDON EQUATION LIGHT NUCLEI LORENTZ TRANSFORMATIONS MATHEMATICAL SOLUTIONS MESON REACTIONS MESONS MEV RANGE NUCLEAR PHYSICS AND RADIATION PHYSICS NUCLEAR POTENTIAL NUCLEAR REACTIONS NUCLEI NUCLEONS PARTIAL DIFFERENTIAL EQUATIONS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PION PLUS REACTIONS PION REACTIONS PIONS POTENTIALS PSEUDOSCALAR MESONS SCATTERING STABLE ISOTOPES TARGETS TRANSFORMATIONS WAVE EQUATIONS |
| title | Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation |
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