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King-Plot Analysis of Isotope Shifts in Simple Diatomic Molecules
- Source :
- Physical Review X. 13
- Publication Year :
- 2023
- Publisher :
- American Physical Society (APS), 2023.
-
Abstract
- We demonstrate that the isotope shift in isotopomers of diatomic molecules, where the nucleus of one of its constituent atoms is replaced by another isotope, can be expressed as the sum of a field shift and a mass shift, similar to the atomic case. We show that a linear relation holds between atomic and molecular isotopes shifts, thus extending the King-plot analysis to molecular isotope shifts. Optical isotope shifts in YbF and ZrO and infrared isotope shifts in SnH are analyzed with a molecular King-plot approach, utilizing Yb$^{+}$ and Zr$^{+}$ ionic isotope shifts and charge radii of Sn obtained with non-optical methods. The changes in the mean-squared nuclear charge radii $\delta \langle r^2 \rangle$ of $^{170-174,176}$Yb and $^{90-92,94,96}$Zr extracted from the molecular transitions are found to be in excellent agreement with the values from the spectroscopy of Yb$^{+}$ and Zr$^{+}$, respectively. On the contrary, in the case of the vibrational-rotational transition in SnH, no sensitivity to the nuclear volume could be deduced within the experimental resolution, which makes it unsuitable for the extraction of nuclear charge radii but provides insights into the molecular electronic wave function not accessible via other methods. The new opportunities offered by the molecular King-plot analysis for research in nuclear structure and molecular physics are discussed.<br />Comment: Accepted at Physical Review X. Link to abstract: https://journals.aps.org/prx/accepted/be075Kf7E0c16505459d9fa833408356a593fd904
- Subjects :
- CHARGE RADII
FIELD SHIFT
Nuclear Theory
nucl-th
Atomic Physics (physics.atom-ph)
Physics, Multidisciplinary
Other Fields of Physics
FOS: Physical sciences
General Physics and Astronomy
physics.atm-clus
nucl-ex
physics.atom-ph
Physics - Atomic Physics
Nuclear Theory (nucl-th)
ENERGY
DEPENDENCE
SPECTRA
Nuclear Physics - Experiment
Physics - Atomic and Molecular Clusters
Nuclear Experiment (nucl-ex)
LASER SPECTROSCOPY
Nuclear Experiment
Science & Technology
Physics
Nuclear Physics - Theory
GROUND-STATE
Physical Sciences
Atomic and Molecular Clusters (physics.atm-clus)
TRANSITION
Subjects
Details
- ISSN :
- 21603308
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Physical Review X
- Accession number :
- edsair.doi.dedup.....8bfce903610f3d2287ea39fb5067ebe0