Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants
We have performed high-precision calculations of the hyperfine structure for n 2S_1/2 and n 2P_1/2 states of the alkali-metal atoms Rb, Cs, and Fr across principal quantum number n, and studied the trend in the size of the correlations. Our calculations were performed in the all-orders correlation p...
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description | We have performed high-precision calculations of the hyperfine structure for n 2S_1/2 and n 2P_1/2 states of the alkali-metal atoms Rb, Cs, and Fr across principal quantum number n, and studied the trend in the size of the correlations. Our calculations were performed in the all-orders correlation potential method. We demonstrate that the relative correlation corrections fall off quickly with n and tend towards constant and non-zero values for highly-excited states. This trend is supported by experiment, and we utilize the smooth dependence on n to make high-accuracy predictions of the hyperfine constants, with uncertainties to within 0.1% for most states of Rb and Cs. |
doi_str_mv | 10.48550/arxiv.1907.02657 |
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Our calculations were performed in the all-orders correlation potential method. We demonstrate that the relative correlation corrections fall off quickly with n and tend towards constant and non-zero values for highly-excited states. This trend is supported by experiment, and we utilize the smooth dependence on n to make high-accuracy predictions of the hyperfine constants, with uncertainties to within 0.1% for most states of Rb and Cs.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1907.02657</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Alkali metals ; Atomic properties ; Cesium ; Dependence ; Hyperfine structure ; Mathematical analysis ; Physics - Atomic Physics ; Rubidium ; Trends</subject><ispartof>arXiv.org, 2019-07</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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Our calculations were performed in the all-orders correlation potential method. We demonstrate that the relative correlation corrections fall off quickly with n and tend towards constant and non-zero values for highly-excited states. This trend is supported by experiment, and we utilize the smooth dependence on n to make high-accuracy predictions of the hyperfine constants, with uncertainties to within 0.1% for most states of Rb and Cs.</description><subject>Alkali metals</subject><subject>Atomic properties</subject><subject>Cesium</subject><subject>Dependence</subject><subject>Hyperfine structure</subject><subject>Mathematical analysis</subject><subject>Physics - Atomic Physics</subject><subject>Rubidium</subject><subject>Trends</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNpFkE1Lw0AQhhdBsNT-AE8ueG3qfmSz2aMEa4WCIL2HyWZjttQkzm7E_nvTVvA0w7wPL8NDyB1nqzRXij0C_vjvFTdMr5jIlL4iMyElT_JUiBuyCGHP2BRooZScESx6RHeA6PuORnRdHaifttbR9jg4bHznaIg42jiio02P9L1a0iIs6RopdDVt_UebgLUjgj3SAV3t7aktnOH_EjudInQx3JLrBg7BLf7mnOzWz7tik2zfXl6Lp20CSpgEjBJS1EpUBppKKjCQgs4r4zKesorXoIVOm7xy0jLW1NrkTCoBhmcZODByTu4vtWch5YD-E_BYnsSUZzET8XAhBuy_Rhdiue9H7KafSiFUKrjKuJG_cYlnRA</recordid><startdate>20190708</startdate><enddate>20190708</enddate><creator>Grunefeld, S J</creator><creator>Roberts, B M</creator><creator>Ginges, J S M</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20190708</creationdate><title>Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants</title><author>Grunefeld, S J ; Roberts, B M ; Ginges, J S M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a529-a95232d52b9afb35a9a4a78b9e6140b1da7274f8be3c00fd7980352a9166aea93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Alkali metals</topic><topic>Atomic properties</topic><topic>Cesium</topic><topic>Dependence</topic><topic>Hyperfine structure</topic><topic>Mathematical analysis</topic><topic>Physics - Atomic Physics</topic><topic>Rubidium</topic><topic>Trends</topic><toplevel>online_resources</toplevel><creatorcontrib>Grunefeld, S J</creatorcontrib><creatorcontrib>Roberts, B M</creatorcontrib><creatorcontrib>Ginges, J S M</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</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>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</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><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grunefeld, S J</au><au>Roberts, B M</au><au>Ginges, J S M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants</atitle><jtitle>arXiv.org</jtitle><date>2019-07-08</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>We have performed high-precision calculations of the hyperfine structure for n 2S_1/2 and n 2P_1/2 states of the alkali-metal atoms Rb, Cs, and Fr across principal quantum number n, and studied the trend in the size of the correlations. Our calculations were performed in the all-orders correlation potential method. We demonstrate that the relative correlation corrections fall off quickly with n and tend towards constant and non-zero values for highly-excited states. This trend is supported by experiment, and we utilize the smooth dependence on n to make high-accuracy predictions of the hyperfine constants, with uncertainties to within 0.1% for most states of Rb and Cs.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1907.02657</doi><oa>free_for_read</oa></addata></record> |
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subjects | Alkali metals Atomic properties Cesium Dependence Hyperfine structure Mathematical analysis Physics - Atomic Physics Rubidium Trends |
title | Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants |
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