Connections between the dynamical symmetries in the microscopic shell model
The dynamical symmetries of the microscopic shell model appear as the limiting cases of a symmetry adapted Pairing-Plus-Quadrupole Model /PQM/, with a Hamiltonian containing isoscalar and isovector pairing and quadrupole interactions. We establish a correspondence between each of the three types of...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 1 |
| container_start_page | |
| container_title | |
| container_volume | 1722 |
| creator | Georgieva, A. I. Drumev, K. P. |
| description | The dynamical symmetries of the microscopic shell model appear as the limiting cases of a symmetry adapted Pairing-Plus-Quadrupole Model /PQM/, with a Hamiltonian containing isoscalar and isovector pairing and quadrupole interactions. We establish a correspondence between each of the three types of pairing bases and Elliott’s SU(3) basis, that describes collective rotation of nuclear systems with quadrupole deformation. It is derived from their complementarity to the same LS coupling chain of the shell model number conserving algebra. The probability distribution of the S U(3) basis states within the pairing eigenstates is also obtained through a numerical diagonalization of the PQM Hamiltonian in each limit. We introduce control parameters, which define the phase diagram of the model and determine the role of each term of the Hamiltonian in the correct reproduction of the experimental data for the considered nuclei. |
| doi_str_mv | 10.1063/1.4944127 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_scitation_primary_10_1063_1_4944127</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2127116672</sourcerecordid><originalsourceid>FETCH-LOGICAL-o281t-7d0007c465b2731bc163c8abe00ddbc34e5597536b952a4dac43e86c0e04f2f3</originalsourceid><addsrcrecordid>eNp9kE1LxDAQhoMouK4e_AcFb0LXfKc9yuIXLnjZg7eQJlM2S9vUJqvsv7elwt48Dcw8vMz7IHRL8IpgyR7IipecE6rO0IIIQXIliTxHC4xLnlPOPi_RVYx7jGmpVLFA7-vQdWCTD13MKkg_AF2WdpC5Y2dab02TxWPbQho8xMzPt3E_hGhD720Wd9A0WRscNNfoojZNhJu_uUTb56ft-jXffLy8rR83eaAFSblyGGNluRQVVYxUlkhmC1MBxs5VlnEQolSCyaoU1HBnLGdQSIsB85rWbInu5tgQk9fR-gR2Z-camlJRjlXpieqH8HWAmPQ-HIZu_EvTUQ8hUqqJup-pKcZMFnQ_-NYMR02wnoxqov-M_gd_h-EE6t7V7BeBM3Zc</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype><pqid>2127116672</pqid></control><display><type>conference_proceeding</type><title>Connections between the dynamical symmetries in the microscopic shell model</title><source>Scitation (American Institute of Physics)</source><creator>Georgieva, A. I. ; Drumev, K. P.</creator><contributor>Akkuş, Baki ; Öktem, Yeşim ; Yalçin, Latife Şahin ; Doğan, Gülfem Süsoy ; Mutlu, R. Burcu Çakirli</contributor><creatorcontrib>Georgieva, A. I. ; Drumev, K. P. ; Akkuş, Baki ; Öktem, Yeşim ; Yalçin, Latife Şahin ; Doğan, Gülfem Süsoy ; Mutlu, R. Burcu Çakirli</creatorcontrib><description>The dynamical symmetries of the microscopic shell model appear as the limiting cases of a symmetry adapted Pairing-Plus-Quadrupole Model /PQM/, with a Hamiltonian containing isoscalar and isovector pairing and quadrupole interactions. We establish a correspondence between each of the three types of pairing bases and Elliott’s SU(3) basis, that describes collective rotation of nuclear systems with quadrupole deformation. It is derived from their complementarity to the same LS coupling chain of the shell model number conserving algebra. The probability distribution of the S U(3) basis states within the pairing eigenstates is also obtained through a numerical diagonalization of the PQM Hamiltonian in each limit. We introduce control parameters, which define the phase diagram of the model and determine the role of each term of the Hamiltonian in the correct reproduction of the experimental data for the considered nuclei.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.4944127</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Deformation ; EIGENSTATES ; Eigenvectors ; HAMILTONIANS ; ISOVECTORS ; L-S COUPLING ; Mathematical models ; NUCLEAR DEFORMATION ; NUCLEAR STRUCTURE ; PAIRING INTERACTIONS ; PHASE DIAGRAMS ; Quadrupole interaction ; Quadrupoles ; SHELL MODELS ; SU-3 GROUPS ; SYMMETRY</subject><ispartof>AIP conference proceedings, 2016, Vol.1722 (1)</ispartof><rights>AIP Publishing LLC</rights><rights>2016 AIP Publishing LLC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/acp/article-lookup/doi/10.1063/1.4944127$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,309,310,314,776,780,785,786,790,881,4497,23910,23911,25119,27903,27904,76130</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22590942$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><contributor>Akkuş, Baki</contributor><contributor>Öktem, Yeşim</contributor><contributor>Yalçin, Latife Şahin</contributor><contributor>Doğan, Gülfem Süsoy</contributor><contributor>Mutlu, R. Burcu Çakirli</contributor><creatorcontrib>Georgieva, A. I.</creatorcontrib><creatorcontrib>Drumev, K. P.</creatorcontrib><title>Connections between the dynamical symmetries in the microscopic shell model</title><title>AIP conference proceedings</title><description>The dynamical symmetries of the microscopic shell model appear as the limiting cases of a symmetry adapted Pairing-Plus-Quadrupole Model /PQM/, with a Hamiltonian containing isoscalar and isovector pairing and quadrupole interactions. We establish a correspondence between each of the three types of pairing bases and Elliott’s SU(3) basis, that describes collective rotation of nuclear systems with quadrupole deformation. It is derived from their complementarity to the same LS coupling chain of the shell model number conserving algebra. The probability distribution of the S U(3) basis states within the pairing eigenstates is also obtained through a numerical diagonalization of the PQM Hamiltonian in each limit. We introduce control parameters, which define the phase diagram of the model and determine the role of each term of the Hamiltonian in the correct reproduction of the experimental data for the considered nuclei.</description><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Deformation</subject><subject>EIGENSTATES</subject><subject>Eigenvectors</subject><subject>HAMILTONIANS</subject><subject>ISOVECTORS</subject><subject>L-S COUPLING</subject><subject>Mathematical models</subject><subject>NUCLEAR DEFORMATION</subject><subject>NUCLEAR STRUCTURE</subject><subject>PAIRING INTERACTIONS</subject><subject>PHASE DIAGRAMS</subject><subject>Quadrupole interaction</subject><subject>Quadrupoles</subject><subject>SHELL MODELS</subject><subject>SU-3 GROUPS</subject><subject>SYMMETRY</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2016</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kE1LxDAQhoMouK4e_AcFb0LXfKc9yuIXLnjZg7eQJlM2S9vUJqvsv7elwt48Dcw8vMz7IHRL8IpgyR7IipecE6rO0IIIQXIliTxHC4xLnlPOPi_RVYx7jGmpVLFA7-vQdWCTD13MKkg_AF2WdpC5Y2dab02TxWPbQho8xMzPt3E_hGhD720Wd9A0WRscNNfoojZNhJu_uUTb56ft-jXffLy8rR83eaAFSblyGGNluRQVVYxUlkhmC1MBxs5VlnEQolSCyaoU1HBnLGdQSIsB85rWbInu5tgQk9fR-gR2Z-camlJRjlXpieqH8HWAmPQ-HIZu_EvTUQ8hUqqJup-pKcZMFnQ_-NYMR02wnoxqov-M_gd_h-EE6t7V7BeBM3Zc</recordid><startdate>20160325</startdate><enddate>20160325</enddate><creator>Georgieva, A. I.</creator><creator>Drumev, K. P.</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20160325</creationdate><title>Connections between the dynamical symmetries in the microscopic shell model</title><author>Georgieva, A. I. ; Drumev, K. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-o281t-7d0007c465b2731bc163c8abe00ddbc34e5597536b952a4dac43e86c0e04f2f3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2016</creationdate><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Deformation</topic><topic>EIGENSTATES</topic><topic>Eigenvectors</topic><topic>HAMILTONIANS</topic><topic>ISOVECTORS</topic><topic>L-S COUPLING</topic><topic>Mathematical models</topic><topic>NUCLEAR DEFORMATION</topic><topic>NUCLEAR STRUCTURE</topic><topic>PAIRING INTERACTIONS</topic><topic>PHASE DIAGRAMS</topic><topic>Quadrupole interaction</topic><topic>Quadrupoles</topic><topic>SHELL MODELS</topic><topic>SU-3 GROUPS</topic><topic>SYMMETRY</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Georgieva, A. I.</creatorcontrib><creatorcontrib>Drumev, K. P.</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace 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>Georgieva, A. I.</au><au>Drumev, K. P.</au><au>Akkuş, Baki</au><au>Öktem, Yeşim</au><au>Yalçin, Latife Şahin</au><au>Doğan, Gülfem Süsoy</au><au>Mutlu, R. Burcu Çakirli</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Connections between the dynamical symmetries in the microscopic shell model</atitle><btitle>AIP conference proceedings</btitle><date>2016-03-25</date><risdate>2016</risdate><volume>1722</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The dynamical symmetries of the microscopic shell model appear as the limiting cases of a symmetry adapted Pairing-Plus-Quadrupole Model /PQM/, with a Hamiltonian containing isoscalar and isovector pairing and quadrupole interactions. We establish a correspondence between each of the three types of pairing bases and Elliott’s SU(3) basis, that describes collective rotation of nuclear systems with quadrupole deformation. It is derived from their complementarity to the same LS coupling chain of the shell model number conserving algebra. The probability distribution of the S U(3) basis states within the pairing eigenstates is also obtained through a numerical diagonalization of the PQM Hamiltonian in each limit. We introduce control parameters, which define the phase diagram of the model and determine the role of each term of the Hamiltonian in the correct reproduction of the experimental data for the considered nuclei.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4944127</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2016, Vol.1722 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_4944127 |
| source | Scitation (American Institute of Physics) |
| subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Deformation EIGENSTATES Eigenvectors HAMILTONIANS ISOVECTORS L-S COUPLING Mathematical models NUCLEAR DEFORMATION NUCLEAR STRUCTURE PAIRING INTERACTIONS PHASE DIAGRAMS Quadrupole interaction Quadrupoles SHELL MODELS SU-3 GROUPS SYMMETRY |
| title | Connections between the dynamical symmetries in the microscopic shell model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T20%3A18%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_scita&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Connections%20between%20the%20dynamical%20symmetries%20in%20the%20microscopic%20shell%20model&rft.btitle=AIP%20conference%20proceedings&rft.au=Georgieva,%20A.%20I.&rft.date=2016-03-25&rft.volume=1722&rft.issue=1&rft.issn=0094-243X&rft.eissn=1551-7616&rft.coden=APCPCS&rft_id=info:doi/10.1063/1.4944127&rft_dat=%3Cproquest_scita%3E2127116672%3C/proquest_scita%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2127116672&rft_id=info:pmid/&rfr_iscdi=true |