Theoretical study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Hf</mml:mi><mml:msup><mml:mi mathvariant="normal">F</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math>in search of the electron electric dipole moment

Petrov, A. N.; Mosyagin, N. S.; Isaev, T. A.; Титов, А. В.

doi:10.1103/physreva.76.030501

Cited by 75 publications

(92 citation statements)

References 27 publications

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“…This means that measurement of the eEDM provides a rigorous test of extensions to the standard model without having to disentangle new results from standard model predictions. HfF + and the related ThF + have been suggested as candidate species in such a measurement using trapped molecular ions [7,8,9,10]. The low-lying, metastable 3 ∆ 1 states in HfF + and ThF + have high sensitivity to the eEDM due to the large effective electric field felt by one of the unpaired electrons when the molecule is polarized in low laboratory electric fields.…”

Section: Introductionmentioning

confidence: 99%

“…Importantly though, there are no fully characterized optical transitions in either HfF + or ThF + at wavelengths below 1 µm (above 10 4 cm −1 ) where laser-induced fluorescence detection is possible. Due to the large number of electrons involved, quantum calculations are challenging: current high-level calculations have errors of perhaps 1000 cm −1 [9,19].…”

Section: Introductionmentioning

confidence: 99%

“…In applied magnetic and electric fields these sublevels are split both by the Zeeman effect and by the interaction of the dipole moment of the electron (assumed to be parallel to the electron spin) with the internal electric field of the ion. This magnitude of this shift is given by 2d e E int (using the convention of [9] instead of that in [10]), where d e is the eEDM to be measured and E int is the effective internal electric field experienced by the electron (about 24 GeV/cm [9]). HfF + will initially be formed and trapped in the X 1 Σ + state; then optical (and possibly microwave) transitions will be used to create a coherent superpostion in the two desired m F sublevels of the 3 ∆ 1 state.…”

Section: Introductionmentioning

confidence: 99%

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Broadband velocity modulation spectroscopy of HfF+: Towards a measurement of the electron electric dipole moment

Cossel

Gresh

Sinclair

et al. 2012

Chemical Physics Letters

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Precision spectroscopy of trapped HfF + will be used in a search for the permanent electric dipole moment of the electron (eEDM). While this dipole moment has yet to be observed, various extensions to the standard model of particle physics (such as supersymmetry) predict values that are close to the current limit. We present extensive survey spectroscopy of 19 bands covering nearly 5000 cm −1 using both frequency-comb and single-frequency laser velocity-modulation spectroscopy. We obtain high-precision rovibrational constants for eight electronic states including those that will be necessary for state preparation and readout in an actual eEDM experiment.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Broadband velocity modulation spectroscopy of HfF+: Towards a measurement of the electron electric dipole moment

Cossel

Gresh

Sinclair

et al. 2012

Chemical Physics Letters

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“…Electronic structure calculations predict that an internal electric field of ∼30 GV cm −1 can be achieved when HfF + ( 3 1 ) is subjected to a modest external field. 2,4 In principle, this is sufficient to produce measurable level shifts due to the eEDM.…”

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confidence: 99%

Communication: Spectroscopic measurements for HfF+ of relevance to the investigation of fundamental constants

Barker

Antonov

Bondybey

2011

The Journal of Chemical Physics

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The properties of the HfF+ cation are thought to be well-suited for investigations of the electron electric dipole moment (eEDM) and temporal variations of the fine structure constant. Precision spectroscopic measurements involving the X1Σ+ and low-lying 3Δ1 states have been proposed to measure both. Due to the lack of data for HfF+, the design of these experiments has relied entirely on the predictions of electronic structure calculations. Spectroscopic characterizations of the X1Σ+, 3Δ1, 3Δ2 and 3Δ3 states are reported. The results further support the contention that HfF+ is a viable candidate for eEDM measurements. The spacings between adjacent X1Σ+ and 3Δ1 levels are found to be less favorable for the proposed studies of the fine structure constant.

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“…The polarization of the innercore electrons is usually negligible. These circumstances allow us to use a two-step technique, advanced by our group [23][24][25][26][27] and recently applied for calculation of E eff in molecular systems [28,29]. At the first step we exclude inactive inner-core orbitals from correlation calculation with the help of a very accurate generalized relativistic effective core potential method (GRECP) [30][31][32] to reduce computational efforts.…”

Section: Methodsmentioning

confidence: 99%

Enhancement of the electron electric dipole moment in Eu2+

et al. 2011

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Towards the search of electron electric dipole moment: correlation calculations of the P,T-violation effect in the Eu ++ cation. Recently the Eu0.5Ba0.5TiO3 solid was suggested as a promising candidate for experimental search of the electron electric dipole moment. To interpret the results of this experiment one should calculate the effective electric field acting on an unpaired (spin-polarized) electrons of europium cation in the crystal because the value of this field cannot be measured experimentally. The Eu ++ cation is considered in the paper in the uniform external electric field Eext as our first and simplest model simulating the state of europium in the crystal. We have performed high-level electronic structure correlation calculation using coupled clusters theory (and scalar-relativistic approximation for valence and outer core electrons at the molecular pseudopotential calculation stage that is followed by the four-component spinor restoration of the core electronic structure) to evaluate the enhancement coefficient K = E eff /Eext (where Eext is the applied external electric field and E eff is the induced effective electric field acting on an unpaired electron in Eu ++ ). A detailed computation analysis is presented. The calculated value of K is -4.6.

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Theoretical study ofHfF+in search of the electron electric dipole moment

Cited by 75 publications

References 27 publications

Broadband velocity modulation spectroscopy of HfF+: Towards a measurement of the electron electric dipole moment

Broadband velocity modulation spectroscopy of HfF+: Towards a measurement of the electron electric dipole moment

Communication: Spectroscopic measurements for HfF+ of relevance to the investigation of fundamental constants

Enhancement of the electron electric dipole moment in Eu2+

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