Determination of the Astrophysical S-factor Near Zero Energy
The astrophysical S-factor for radiative-capture reactions is reviewed at zero energy in the simplified potential models since the determination of reaction rates in astrophysics requires accurate values of radiative-capture cross sections at very low energy values. The Taylor expansion of the astro...
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description | The astrophysical S-factor for radiative-capture reactions is reviewed at zero energy in the simplified potential models since the determination of reaction rates in astrophysics requires accurate values of radiative-capture cross sections at very low energy values. The Taylor expansion of the astrophvsical S-factor is calculated. The radial Schrodinger equation and its derivatives are solved at zero energy by taking corresponding exact asymptotic forms of wave functions into account. Explicit expressions for the S-factor and for its derivatives at zero energy are obtained. The procedure is applied to 3He(,)7Be reaction as an example. |
doi_str_mv | 10.1063/1.2733278 |
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The Taylor expansion of the astrophvsical S-factor is calculated. The radial Schrodinger equation and its derivatives are solved at zero energy by taking corresponding exact asymptotic forms of wave functions into account. Explicit expressions for the S-factor and for its derivatives at zero energy are obtained. 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The Taylor expansion of the astrophvsical S-factor is calculated. The radial Schrodinger equation and its derivatives are solved at zero energy by taking corresponding exact asymptotic forms of wave functions into account. Explicit expressions for the S-factor and for its derivatives at zero energy are obtained. The procedure is applied to 3He(,)7Be reaction as an example.</description><subject>ALPHA REACTIONS</subject><subject>ASTROPHYSICS</subject><subject>ASYMPTOTIC SOLUTIONS</subject><subject>BERYLLIUM 7</subject><subject>CAPTURE</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>CROSS SECTIONS</subject><subject>HELIUM 3</subject><subject>HELIUM 3 TARGET</subject><subject>NUCLEAR REACTION KINETICS</subject><subject>POTENTIALS</subject><subject>SCHROEDINGER EQUATION</subject><subject>WAVE FUNCTIONS</subject><issn>0094-243X</issn><issn>1551-7616</issn><isbn>9780735404045</isbn><isbn>0735404046</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2007</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotjktLw0AURgcfYK1d-A8GBHep984zA25KWx9QdKGCuAnJeGMjaaZmpov-eyOVb_FtDofD2CXCFMHIG5wKK6Ww-REbodaYWYPmmE2czcFKrWCYPmEjAKcyoeT7GTuP8RtAOGvzEbtdUKJ-03RlakLHQ83Tmvgspj5s1_vY-LLlL1ld-hR6_kRlzz-oD3zZUf-1v2CnddlGmvz_mL3dLV_nD9nq-f5xPltlQaBKGQE6W1KOZJTKBSjUlft0VSWsQ-2dAjvUaMDa-Mr_ccIbBQKdcsIZK8fs6uANMTVF9E0iv_ah68inQiBoi04P1PWB2vbhZ0cxFZsmemrbsqOwi4Vw-dABTv4CQYNWzA</recordid><startdate>20070101</startdate><enddate>20070101</enddate><creator>Ozer, Okan</creator><creator>Yilmaz, Mustafa</creator><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20070101</creationdate><title>Determination of the Astrophysical S-factor Near Zero Energy</title><author>Ozer, Okan ; Yilmaz, Mustafa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-o214t-e0197ae81e644820415b9d9bb27915c9407297501f6cbce81e2c6402194929673</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2007</creationdate><topic>ALPHA REACTIONS</topic><topic>ASTROPHYSICS</topic><topic>ASYMPTOTIC SOLUTIONS</topic><topic>BERYLLIUM 7</topic><topic>CAPTURE</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>CROSS SECTIONS</topic><topic>HELIUM 3</topic><topic>HELIUM 3 TARGET</topic><topic>NUCLEAR REACTION KINETICS</topic><topic>POTENTIALS</topic><topic>SCHROEDINGER EQUATION</topic><topic>WAVE FUNCTIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ozer, Okan</creatorcontrib><creatorcontrib>Yilmaz, Mustafa</creatorcontrib><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ozer, Okan</au><au>Yilmaz, Mustafa</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Determination of the Astrophysical S-factor Near Zero Energy</atitle><btitle>AIP conference proceedings</btitle><date>2007-01-01</date><risdate>2007</risdate><volume>899</volume><issue>1</issue><spage>537</spage><epage>537</epage><pages>537-537</pages><issn>0094-243X</issn><eissn>1551-7616</eissn><isbn>9780735404045</isbn><isbn>0735404046</isbn><abstract>The astrophysical S-factor for radiative-capture reactions is reviewed at zero energy in the simplified potential models since the determination of reaction rates in astrophysics requires accurate values of radiative-capture cross sections at very low energy values. The Taylor expansion of the astrophvsical S-factor is calculated. The radial Schrodinger equation and its derivatives are solved at zero energy by taking corresponding exact asymptotic forms of wave functions into account. Explicit expressions for the S-factor and for its derivatives at zero energy are obtained. The procedure is applied to 3He(,)7Be reaction as an example.</abstract><cop>United States</cop><doi>10.1063/1.2733278</doi><tpages>1</tpages></addata></record> |
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subjects | ALPHA REACTIONS ASTROPHYSICS ASYMPTOTIC SOLUTIONS BERYLLIUM 7 CAPTURE CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CROSS SECTIONS HELIUM 3 HELIUM 3 TARGET NUCLEAR REACTION KINETICS POTENTIALS SCHROEDINGER EQUATION WAVE FUNCTIONS |
title | Determination of the Astrophysical S-factor Near Zero Energy |
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