A laboratory search for variation of the fine-structure constant using atomic dysprosium

Issue		Eur. Phys. J. Special Topics Volume 163, October I 2008 Atomic Clocks and Fundamental Constants


Page(s)		71 - 88
DOI		10.1140/epjst/e2008-00810-0
Published online		25 October 2008

Eur. Phys. J. Special Topics 163, 71-88 (2008)
DOI: 10.1140/epjst/e2008-00810-0

A laboratory search for variation of the fine-structure constant using atomic dysprosium

A. Cingöz¹, N.A. Leefer¹, S.J. Ferrell¹, A. Lapierre², A.-T Nguyen³, V.V. Yashchuk⁴, D. Budker^{1, 4}, S.K. Lamoreaux⁵ and J.R. Torgerson⁶

¹ Department of Physics, University of California at Berkeley, Berkeley, California 94720-7300, USA
² TRIUMF National Laboratory, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada
³ Department of Neurobiology, University of Pittsburgh, Pittsburgh, Pennsylvania 15213, USA
⁴ Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
⁵ Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA
⁶ Physics Division, Los Alamos National Laboratory, P-23, MS-H803, Los Alamos, New Mexico 87545, USA

Abstract
Electric-dipole transitions between nearly degenerate, opposite parity levels of atomic dysprosium (Dy) were monitored over an eight-month period to search for a variation in the fine-structure constant, $\alpha$ . The frequencies of these transitions are sensitive to variation of $\alpha$ due to large relativistic corrections of opposite sign for the opposite-parity levels. In this unique system, in contrast to atomic-clock comparisons, the difference of the electronic energies of the opposite-parity levels can be monitored directly utilizing a radio-frequency (rf), electric-dipole transition between them. Our measurements for the frequency variation of the 3.1-MHz transition in ¹⁶³Dy and the 235-MHz transition in ¹⁶²Dy can be analyzed for both a temporal variation and a gravitational-potential dependence of $\alpha$ since, during the data acquisition period, the Earth is located at different values of the gravitational potential of the Sun. The data provide a rate of fractional temporal variation of $\alpha$ of $(-2.7\pm2.6)\times 10^{-15}$ yr^-1 or a value of $(-8.7 \pm 6.6) \times 10^{-6}$ for $k_\alpha$ , the linear-variation coefficient for $\alpha$ in a changing gravitational potential. These results are independent of assumptions regarding variation of other fundamental constants. The latter result can be combined with other experimental constraints to extract the first limits on k_e and k_q, which characterize the variation of m_e/m_p and m_q/m_p in a changing gravitational potential, where m_e, m_p, and m_q are electron, proton, and quark masses. All results indicate the absence of significant variation at the present level of sensitivity.

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