Exact wave functions of bound μ − for calculating ordinary muon capture rates
The goal of the present contribution is twofold: (i) To compute exact wave functions for a muon bound in the extended Coulomb potential of a muonic atom by solving the Dirac equation within the context of genetic algorithms and neural network techniques using experimental finite-size charge-densitie...
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| creator | Kardaras, I S Stavrou, V N Tsoulos, I G Kosmas, T S |
| description | The goal of the present contribution is twofold: (i) To compute exact wave functions for a muon bound in the extended Coulomb potential of a muonic atom by solving the Dirac equation within the context of genetic algorithms and neural network techniques using experimental finite-size charge-densities for the attracting nucleus. (ii) To calculate partial and total rates of the ordinary muon capture in various muonic atoms. In contrast to the majority of previous realistic calculations for μ−-capture rates, in our present work we utilize the above mentioned exact wave functions for a muon orbiting at the Is and 2p atomic orbits. The required many-body nuclear wave functions are obtained by diagonalizing the eigenvalue problem of the quasi-particle random phase approximation (QRPA). |
| doi_str_mv | 10.1088/1742-6596/410/1/012127 |
| format | Conference Proceeding |
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(ii) To calculate partial and total rates of the ordinary muon capture in various muonic atoms. In contrast to the majority of previous realistic calculations for μ−-capture rates, in our present work we utilize the above mentioned exact wave functions for a muon orbiting at the Is and 2p atomic orbits. The required many-body nuclear wave functions are obtained by diagonalizing the eigenvalue problem of the quasi-particle random phase approximation (QRPA).</description><identifier>ISSN: 1742-6596</identifier><identifier>ISSN: 1742-6588</identifier><identifier>EISSN: 1742-6596</identifier><identifier>DOI: 10.1088/1742-6596/410/1/012127</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Charge density ; Coulomb potential ; Dirac equation ; Eigenvalues ; Elementary excitations ; Genetic algorithms ; Mathematical analysis ; Mathematical problems ; Muons ; Neural networks ; Physics ; Wave functions</subject><ispartof>Journal of physics. 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The required many-body nuclear wave functions are obtained by diagonalizing the eigenvalue problem of the quasi-particle random phase approximation (QRPA).</description><subject>Charge density</subject><subject>Coulomb potential</subject><subject>Dirac equation</subject><subject>Eigenvalues</subject><subject>Elementary excitations</subject><subject>Genetic algorithms</subject><subject>Mathematical analysis</subject><subject>Mathematical problems</subject><subject>Muons</subject><subject>Neural networks</subject><subject>Physics</subject><subject>Wave functions</subject><issn>1742-6596</issn><issn>1742-6588</issn><issn>1742-6596</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2013</creationdate><recordtype>conference_proceeding</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpNkEtKBDEQhoMoOI5eQQKu28477VKG0REGdKHrkM5DephJxqTj4wauPY9n8BCexG5GxNpUUf9P_cUHwClG5xg1TY0lI5XgF6JmGNW4RphgIvfA5E_Y_zcfgqOcVwjRoeQE3M1ftenhi3520Jdg-i6GDKOHbSzBwq9P-P3-AX1M0Oi1KWvdd-ERxmS7oNMb3JQYBmXbl-Rg0r3Lx-DA63V2J799Ch6u5vezRbW8vb6ZXS4rQynuK9ZS1mBC29YhKgmi3FCCuHSSeOoN14ILo1trHfKSNQQJY1ljhGutFo5ZOgVnu7vbFJ-Ky71axZLCEKkIl5IwTho6uMTOZVLMOTmvtqnbDJ8rjNRIT41g1AhGsXGldvToD6PdZEY</recordid><startdate>20130208</startdate><enddate>20130208</enddate><creator>Kardaras, I S</creator><creator>Stavrou, V N</creator><creator>Tsoulos, I G</creator><creator>Kosmas, T S</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20130208</creationdate><title>Exact wave functions of bound μ − for calculating ordinary muon capture rates</title><author>Kardaras, I S ; Stavrou, V N ; Tsoulos, I G ; Kosmas, T S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-4b348123bbe0372035c32057e72f3fc5a656cabdde0f748206cd48c6ebda6e4d3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Charge density</topic><topic>Coulomb potential</topic><topic>Dirac equation</topic><topic>Eigenvalues</topic><topic>Elementary excitations</topic><topic>Genetic algorithms</topic><topic>Mathematical analysis</topic><topic>Mathematical problems</topic><topic>Muons</topic><topic>Neural networks</topic><topic>Physics</topic><topic>Wave functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kardaras, I S</creatorcontrib><creatorcontrib>Stavrou, V N</creatorcontrib><creatorcontrib>Tsoulos, I G</creatorcontrib><creatorcontrib>Kosmas, T S</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kardaras, I S</au><au>Stavrou, V N</au><au>Tsoulos, I G</au><au>Kosmas, T S</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Exact wave functions of bound μ − for calculating ordinary muon capture rates</atitle><btitle>Journal of physics. 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| identifier | ISSN: 1742-6596 |
| ispartof | Journal of physics. Conference series, 2013, Vol.410 (1), p.12127 |
| issn | 1742-6596 1742-6588 1742-6596 |
| language | eng |
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| source | Institute of Physics Open Access Journal Titles; EZB-FREE-00999 freely available EZB journals; IOPscience extra; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| subjects | Charge density Coulomb potential Dirac equation Eigenvalues Elementary excitations Genetic algorithms Mathematical analysis Mathematical problems Muons Neural networks Physics Wave functions |
| title | Exact wave functions of bound μ − for calculating ordinary muon capture rates |
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