Vibrational spectroscopy of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mtext>H</mml:mtext><mml:mn>2</mml:mn><mml:none /><mml:none /><mml:mo>+</mml:mo></mml:mmultiscripts></mml:mrow></mml:math>: Precise evaluation of the Zeeman effect

Karr, Jean‐Philippe; Korobov, V. I.; Hilico, Laurent

doi:10.1103/physreva.77.062507

Cited by 22 publications

(27 citation statements)

References 12 publications

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“…Examples of positron spin-flip (Zeeman) transitions, 1, 3, and a rotational Zeeman-hyperfine transition, 2, inH − 2 , for the case of N = 2 in a magnetic field of 5 T (not to scale). Using the Breit-Rabi formula [60] and Zeeman and Hyperfine coefficients from [57,69], for v = 0, transitions 1, A complementary method for detecting vibrational transitions, which is especially useful for N = 0 where the positron spin-flip frequency is insensitive to v, is to make use of the dependence of the cyclotron frequency on the vibrational mass-energy of theH − 2 . This increases by 1.45, 2.81, and 4.09 × 10 −10 for transitions between v= 0 and 1, 2, and 3, respectively.…”

Section: Energy Levelsmentioning

confidence: 99%

CPT tests with the antihydrogen molecular ion

Myers

2018

Phys. Rev. A

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High precision radio-frequency, microwave and infrared spectroscopic measurements of the antihydrogen molecular ionH − 2 (ppe + ) compared with its normal matter counterpart provide direct tests of the CPT theorem. The sensitivity to a difference between the positron/antiproton and electron/proton mass ratios, and to a difference between the positron-antiproton and electron-proton hyperfine interactions, can exceed that obtained by comparing antihydrogen with hydrogen by several orders of magnitude. Practical schemes are outlined for measurements on a singleH − 2 ion in a cryogenic Penning trap, that use non-destructive state identification by measuring the cyclotron frequency and bound-positron spin-flip frequency; and also for creating anH − 2 ion and initializing its quantum state.

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Section: Energy Levelsmentioning

confidence: 99%

CPT tests with the antihydrogen molecular ion

Myers

2018

Phys. Rev. A

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“…The hyperfine energies E hfs (vL)F J and state vectors are calculated by diagonalization of the effective state-dependent spin Hamiltonian H eff , obtained from the Breit-Pauli interaction by averaging over space variables with the nonrelativistic wave functions of H + 2 [15,16],…”

Section: A Interaction With An External Electromagnetic Fieldmentioning

confidence: 99%

“…For details, see also states makes them particularly appropriate for precision spectroscopy. The linear and quadratic Zeeman shifts have been calculated precisely and shown to be of the order of 1 kHz in a field of 1 Gauss for selected transitions [4,21]. The relative intensities of the Zeeman components are described with the factor W pol (J z , J ′ z ) in Eqs.…”

Section: Laser Polarization Effectsmentioning

confidence: 99%

Laser-stimulated electric quadrupole transitions in the molecular hydrogen ion H2+

et al. 2018

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Molecular hydrogen ions are of metrological relevance due to the possibility of precise theoretical evaluation of their spectrum and of external-field-induced shifts. We report the results of the calculations of the rate of laser-induced electric quadrupole transitions between a large set of rovibrational states of H + 2 . The hyperfine and Zeeman structure of the E2 transition spectrum and the effects of the laser polarization are treated in detail. We also present the nuclear spin-electron spin coupling constants, computed with a precision 10 times higher than previously. * Electronic address: bakal10@abv.bg

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“…The spin-independent transition frequencies are taken from [32], and the Zeeman shift ∆fZ is obtained from [33]. The relationship between hyperfine matrix elements of the two-photon operator and its reduced matrix elements…”

Section: Quadrupole Transitions In H +mentioning

confidence: 99%

H2+ and HD+
Karr
¹

2014
Journal of Molecular Spectroscopy
54
0
6
0
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We investigate the leading systematic effects in ro-vibrational spectroscopy of the molecular hydrogen ions H + 2 and HD + , in order to assess their potential for the realization of optical clocks that would be sensitive to possible variations of the proton-to-electron mass ratio. Both two-photon (2E1) and quadrupole (E2) transitions are considered. In view of the weakness of these transitions, most attention is devoted to the light shift induced by the probe laser, which we express as a function of the transition amplitude, differential dynamic polarizability and clock interrogation times. Transition amplitudes and dynamic polarizabilites including the effect of hyperfine structure are then calculated in a full three-body approach to get a precise evaluation of the light shift. Together with the quadrupole and Zeeman shifts that are obtained from previous works, these results provide a realistic estimate of the achievable accuracy. We show that the lightshift is the main limiting factor in the case of two-photon transitions, both in H + 2 and HD + , leading to expected accuracy levels close to 5 × 10 −16 in the best cases. Quadrupole transitions have even more promising properties and may allow reaching or going beyond 1 × 10 −16 .

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Vibrational spectroscopy ofH2+: Precise evaluation of the Zeeman effect

Cited by 22 publications

References 12 publications

CPT tests with the antihydrogen molecular ion

CPT tests with the antihydrogen molecular ion

Laser-stimulated electric quadrupole transitions in the molecular hydrogen ion H2+

H2+ and HD+
Karr
¹

2014
Journal of Molecular Spectroscopy
54
0
6
0
View full text Add to dashboard Cite

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Vibrational spectroscopy ofH2+: Precise evaluation of the Zeeman effect

Cited by 22 publications

References 12 publications

CPT tests with the antihydrogen molecular ion

CPT tests with the antihydrogen molecular ion

Laser-stimulated electric quadrupole transitions in the molecular hydrogen ion H2+

H2+ and HD+Karr1 2014Journal of Molecular Spectroscopy54060View full textAdd to dashboardCite

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About

H2+ and HD+
Karr
¹

2014
Journal of Molecular Spectroscopy
54
0
6
0
View full text Add to dashboard Cite