Re-Evaluation of the Nuclear Magnetic Octupole Moment of <sup>209</sup>Bi

We modified the <span style="font-variant: small-caps;">Hfs</span>92 code of the GRASP package in order to describe the magnetic octupole hyperfine interaction. To illustrate the utility of the modified code, we carried out state-of-the-art calculations of the electronic factor...

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Bibliographic Details
Main Authors: Jiguang Li, Gediminas Gaigalas, Jacek Bieroń, Jörgen Ekman, Per Jönsson, Michel Godefroid, Charlotte Froese Fischer
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Atoms
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Online Access:https://www.mdpi.com/2218-2004/10/4/132
Description
Summary:We modified the <span style="font-variant: small-caps;">Hfs</span>92 code of the GRASP package in order to describe the magnetic octupole hyperfine interaction. To illustrate the utility of the modified code, we carried out state-of-the-art calculations of the electronic factors of the magnetic octupole hyperfine interaction constants for levels in the ground configuration of the Bi atom. The nuclear magnetic octupole moment of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>209</mn></msup></semantics></math></inline-formula>Bi isotope was extracted by combining old measurements of the hyperfine structures of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6</mn><msup><mi>p</mi><mn>3</mn></msup><msup><mspace width="3.33333pt"></mspace><mn>4</mn></msup><mspace width="-0.166667em"></mspace><msubsup><mi>S</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mi>o</mi></msubsup></mrow></semantics></math></inline-formula> [Hull, R.; Brink, G. <i>Phys. Rev. A </i><b>1970</b>, <i>1</i>, 685] and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow></mrow><mn>2</mn></msup><mspace width="-0.166667em"></mspace><msubsup><mi>P</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mi>o</mi></msubsup></mrow></semantics></math></inline-formula> [Landman, D.A.; Lurio, A. <i>Phys. Rev. A </i><b>1970</b>, <i>1</i>, 1330] using the atomic-beam magnetic-resonance technique with our theoretical electronic factors. The present extracted octupole moment was consistent with all the available values but the one obtained in the single-particle nuclear shell model approximation. This observation supports the previous finding that nuclear many-body effects, such as the core polarization, significantly contribute to the nuclear magnetic octupole moment in the case of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>209</mn></msup></semantics></math></inline-formula>Bi.
ISSN:2218-2004