Year: 2011
Type: erratum
Abstract: We report an experimental determination of the diamagnetic correction to the ${}^{9}$Be${}^{+}$ ground state hyperfine constant $A$. We measured $A$ $=$ $\ensuremath{-}625\phantom{\rule{0.16em}{0ex}}008\phantom{\rule{0.16em}{0ex}}837.371(11)$ Hz at a magnetic field $B$ of 4.4609 T. Comparison with previous results, obtained at lower values of $B$ (0.68 T and 0.82 T), yields the diamagnetic shift coefficient $k$ $=$ $2.63(18)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}$ T${}^{\ensuremath{-}2}$, where $A(B)={A}_{0}(1+k{B}^{2})$. The zero-field hyperfine constant ${A}_{0}$ is determined to be $\ensuremath{-}625\phantom{\rule{0.16em}{0ex}}008\phantom{\rule{0.16em}{0ex}}837.044(12)$ Hz. The $g$-factor ratio ${{g}_{I}}^{\ensuremath{'}}/{g}_{J}$ is determined to be $2.134\phantom{\rule{0.16em}{0ex}}779\phantom{\rule{0.16em}{0ex}}852\phantom{\rule{0.16em}{0ex}}7(10)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, which is equal to the value measured at lower $B$ to within experimental error. Upper limits are placed on some other corrections to the Breit-Rabi formula. The measured value of $k$ agrees with theoretical estimates.
Source: Physical Review A
Authors: N. Shiga, W. M. Itano, J. J. Bollinger
Institution: National Institute of Standards and Technology
Language: Latvian
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1509737588