Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures
Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alp...
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| creator | Ogata, Kazuyuki Kan, Masataka Kamimura, Masayasu RIKEN Nishina Center, Wako 351-0198 |
| description | Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE. |
| doi_str_mv | 10.1063/1.3485146 |
| format | Article |
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The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.3485146</identifier><language>eng</language><publisher>United States</publisher><subject>ALPHA PARTICLES ; ALPHA REACTIONS ; APPROXIMATIONS ; CALCULATION METHODS ; CAPTURE ; CHARGED PARTICLES ; CHARGED-PARTICLE REACTIONS ; COULOMB FIELD ; COUPLED CHANNEL THEORY ; DIFFERENTIAL EQUATIONS ; ELECTRIC FIELDS ; ENERGY ; EQUATIONS ; IONIZING RADIATIONS ; KINETICS ; MANY-BODY PROBLEM ; NUCLEAR PHYSICS AND RADIATION PHYSICS ; NUCLEAR REACTION KINETICS ; NUCLEAR REACTIONS ; PARTIAL DIFFERENTIAL EQUATIONS ; POTENTIAL ENERGY ; RADIATIONS ; REACTION KINETICS ; SCATTERING ; SCHROEDINGER EQUATION ; THREE-BODY PROBLEM ; WAVE EQUATIONS</subject><ispartof>AIP conference proceedings, 2010-08, Vol.1269 (1)</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,27901,27902</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21426524$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Ogata, Kazuyuki</creatorcontrib><creatorcontrib>Kan, Masataka</creatorcontrib><creatorcontrib>Kamimura, Masayasu</creatorcontrib><creatorcontrib>RIKEN Nishina Center, Wako 351-0198</creatorcontrib><title>Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures</title><title>AIP conference proceedings</title><description>Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE.</description><subject>ALPHA PARTICLES</subject><subject>ALPHA REACTIONS</subject><subject>APPROXIMATIONS</subject><subject>CALCULATION METHODS</subject><subject>CAPTURE</subject><subject>CHARGED PARTICLES</subject><subject>CHARGED-PARTICLE REACTIONS</subject><subject>COULOMB FIELD</subject><subject>COUPLED CHANNEL THEORY</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>ELECTRIC FIELDS</subject><subject>ENERGY</subject><subject>EQUATIONS</subject><subject>IONIZING RADIATIONS</subject><subject>KINETICS</subject><subject>MANY-BODY PROBLEM</subject><subject>NUCLEAR PHYSICS AND RADIATION PHYSICS</subject><subject>NUCLEAR REACTION KINETICS</subject><subject>NUCLEAR REACTIONS</subject><subject>PARTIAL DIFFERENTIAL EQUATIONS</subject><subject>POTENTIAL ENERGY</subject><subject>RADIATIONS</subject><subject>REACTION KINETICS</subject><subject>SCATTERING</subject><subject>SCHROEDINGER EQUATION</subject><subject>THREE-BODY PROBLEM</subject><subject>WAVE EQUATIONS</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqNzsFqAjEUBdAgLTjVLvoHD1xHk5lMRtfS4rbQRVfKMz6ZKTEZkjeIlP57h-IHdHXhci5cIV60Wmplq5VeVmZda2MnotB1rWVjtX0QhVIbI0tTfU7FU85fSpWbplkXYv8-YODhAtwmInmMpxs49G7wyF0MEM8QYkiUYxgdcOp6T_Ibfd_iDyRC98cSMgEy-HgFpktPYzGMq7l4PKPP9HzPmVi8vX5sdzJm7g7ZdUyudTEEcnwotSltPZ78n_oFZj1Kng</recordid><startdate>20100812</startdate><enddate>20100812</enddate><creator>Ogata, Kazuyuki</creator><creator>Kan, Masataka</creator><creator>Kamimura, Masayasu</creator><creator>RIKEN Nishina Center, Wako 351-0198</creator><scope>OTOTI</scope></search><sort><creationdate>20100812</creationdate><title>Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures</title><author>Ogata, Kazuyuki ; Kan, Masataka ; Kamimura, Masayasu ; RIKEN Nishina Center, Wako 351-0198</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-osti_scitechconnect_214265243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>ALPHA PARTICLES</topic><topic>ALPHA REACTIONS</topic><topic>APPROXIMATIONS</topic><topic>CALCULATION METHODS</topic><topic>CAPTURE</topic><topic>CHARGED PARTICLES</topic><topic>CHARGED-PARTICLE REACTIONS</topic><topic>COULOMB FIELD</topic><topic>COUPLED CHANNEL THEORY</topic><topic>DIFFERENTIAL EQUATIONS</topic><topic>ELECTRIC FIELDS</topic><topic>ENERGY</topic><topic>EQUATIONS</topic><topic>IONIZING RADIATIONS</topic><topic>KINETICS</topic><topic>MANY-BODY PROBLEM</topic><topic>NUCLEAR PHYSICS AND RADIATION PHYSICS</topic><topic>NUCLEAR REACTION KINETICS</topic><topic>NUCLEAR REACTIONS</topic><topic>PARTIAL DIFFERENTIAL EQUATIONS</topic><topic>POTENTIAL ENERGY</topic><topic>RADIATIONS</topic><topic>REACTION KINETICS</topic><topic>SCATTERING</topic><topic>SCHROEDINGER EQUATION</topic><topic>THREE-BODY PROBLEM</topic><topic>WAVE EQUATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ogata, Kazuyuki</creatorcontrib><creatorcontrib>Kan, Masataka</creatorcontrib><creatorcontrib>Kamimura, Masayasu</creatorcontrib><creatorcontrib>RIKEN Nishina Center, Wako 351-0198</creatorcontrib><collection>OSTI.GOV</collection><jtitle>AIP conference proceedings</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ogata, Kazuyuki</au><au>Kan, Masataka</au><au>Kamimura, Masayasu</au><au>RIKEN Nishina Center, Wako 351-0198</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures</atitle><jtitle>AIP conference proceedings</jtitle><date>2010-08-12</date><risdate>2010</risdate><volume>1269</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><abstract>Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE.</abstract><cop>United States</cop><doi>10.1063/1.3485146</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2010-08, Vol.1269 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21426524 |
| source | AIP Journals Complete |
| subjects | ALPHA PARTICLES ALPHA REACTIONS APPROXIMATIONS CALCULATION METHODS CAPTURE CHARGED PARTICLES CHARGED-PARTICLE REACTIONS COULOMB FIELD COUPLED CHANNEL THEORY DIFFERENTIAL EQUATIONS ELECTRIC FIELDS ENERGY EQUATIONS IONIZING RADIATIONS KINETICS MANY-BODY PROBLEM NUCLEAR PHYSICS AND RADIATION PHYSICS NUCLEAR REACTION KINETICS NUCLEAR REACTIONS PARTIAL DIFFERENTIAL EQUATIONS POTENTIAL ENERGY RADIATIONS REACTION KINETICS SCATTERING SCHROEDINGER EQUATION THREE-BODY PROBLEM WAVE EQUATIONS |
| title | Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures |
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