Diamagnetic correction to the 9Be+ ground-state hyperfine constant

Published

July 21, 2011

Author(s)

Nobuyasu Shiga, Wayne M. Itano, John J. Bollinger

Abstract

We report an experimental determination of the diamagnetic correction to the ⁹Be⁺ ground state hyperfine constant A. We measured A = −625 008 837.371(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) × 10⁻¹¹ T⁻², where A(B) = A₀ × (1 + kB²). The zero-field hyperfine constant A₀ is determined to be −625 008 837.044(12) Hz. The g-factor ratio g_I'/g_J is determined to be 2.134 779 852 7(10) × 10⁻⁴, 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.

Citation

Physical Review A

Volume

84

Issue

1

Pub Type

Journals

Download Paper

https://doi.org/10.1103/PhysRevA.84.012510

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Keywords

atomic structure, Breit-Rabi formula, diamagnetic correction, electron spin flip resonance, ESR, hyperfine constant, Penning trap

Citation

Shiga, N. , Itano, W. and Bollinger, J. (2011), Diamagnetic correction to the ⁹Be⁺ ground-state hyperfine constant, Physical Review A, [online], https://doi.org/10.1103/PhysRevA.84.012510, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=908128 (Accessed October 9, 2025)