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12-17 September 2010
CERN
Europe/Zurich timezone
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Electron penetration into the nucleus and its effect on the quadrupole interaction

17 Sep 2010, 09:40
20m
500/1-001 - Main Auditorium (CERN)

500/1-001 - Main Auditorium

CERN

15
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ORAL CONTRIBUTION Theory: Hyperfine Interactions, Nuclear Moments THEORY

Speakers

Ms Katrin Koch (Instituut voor Kern- en Stralingsfysica, KULeuven, Max Planck Institute for Chemical Physics of Solids, Dresden, Germany) Mr Stefaan Cottenier (Center for Molecular Modeling -- Universiteit Gent)

Description

A series expansion of the interaction between a nucleus and its surrounding electron distribution provides terms that are well-known in the study of hyperfine interactions: the familiar quadrupole interaction and the less familiar hexadecapole interaction. If the penetration of electrons into the nucleus is taken into account, various corrections to these multipole interactions appear. The best known correction is a scalar term related to the isotope shift and the isomer shift. This contribution discusses a related tensor correction, which modifies the quadrupole interaction if electrons penetrate the nucleus: the quadrupole shift. We describe the mathematical formalism and provide first-principles calculations of the quadrupole shift for a large set of solids. Fully relativistic calculations that explicitly take a finite nucleus into account turn out to be mandatory. Our analysis shows that the quadrupole shift becomes appreciably large for heavy elements. Implications for experimental high-precision studies of quadrupole interactions and quadrupole moment ratios are discussed. This contribution brings alive the results that are reported in Ref. [1], updated with very recent experimental follow-up work [2]. References [1] K. Koch, K. Koepernik, D. Van Neck, H. Rosner, S. Cottenier, Physical Review A 81 (2010) 032507, [2] D. Dewald, J. Grabow, in preparation
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Primary authors

Ms Katrin Koch (Instituut voor Kern- en Stralingsfysica, KULeuven, Max Planck Institute for Chemical Physics of Solids, Dresden, Germany) Mr Stefaan Cottenier (Center for Molecular Modeling -- Universiteit Gent)

Co-authors

Prof. Dimitri Van Neck (Center for Molecular Modeling -- Universiteit Gent) Dr Helge Rosner (Max Planck Institute for Chemical Physics of Solids) Dr Klaus Koepernik (IFW Dresden -- Institute for Solid State Research)

Presentation materials