The spectrum of H
            <sub>2</sub>
            . The Bands analogous to the parhelium line spectrum. —Part II

Richardson, O. W.; Davidson, P. M.

doi:10.1098/rspa.1929.0079

Cited by 19 publications

(1 citation statement)

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“…The data on theory starts with the calculation by Heitler and London [121] mainly aiming at the quantum me- [121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,86,87,83], not explicitly identified. The experimental data are identified and are associated with references [138,139,140,141,142,143,144,145,146,147,148,44]. Data collection based on Sprecher et al [149].…”

Section: Outlook and Perspectivementioning

confidence: 99%

Physics beyond the Standard Model from hydrogen spectroscopy

Ubachs

Koelemeij

Eikema

et al. 2016

Journal of Molecular Spectroscopy

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Spectroscopy of hydrogen can be used for a search into physics beyond the Standard Model. Differences between the absorption spectra of the Lyman and Werner bands of H 2 as observed at high redshift and those measured in the laboratory can be interpreted in terms of possible variations of the proton-electron mass ratio µ = m p /m e over cosmological history. Investigation of some ten of such absorbers in the redshift range z = 2.0 − 4.2 yields a constraint of |∆µ/µ| < 5 × 10 −6 at 3σ. Observation of H 2 from the photospheres of white dwarf stars inside our Galaxy delivers a constraint of similar magnitude on a dependence of µ on a gravitational potential 10 4 times as strong as on the Earth's surface. While such astronomical studies aim at finding quintessence in an indirect manner, laboratory precision measurements target such additional quantum fields in a direct manner. Laser-based precision measurements of dissociation energies, vibrational splittings and rotational level energies in H 2 molecules and their deuterated isotopomers HD and D 2 produce values for the rovibrational binding energies fully consistent with quantum ab initio calculations including relativistic and quantum electrodynamical (QED) effects. Similarly, precision measurements of high-overtone vibrational transitions of HD + ions, captured in ion traps and sympathetically cooled to mK temperatures, also result in transition frequencies fully consistent with calculations including QED corrections. Precision measurements of inter-Rydberg transitions in H 2 can be extrapolated to yield accurate values for level splittings in the H + 2 -ion. These comprehensive results of laboratory precision measurements on neutral and ionic hydrogen molecules can be interpreted to set bounds on the existence of possible fifth forces and of higher dimensions, phenomena describing physics beyond the Standard Model.

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Section: Outlook and Perspectivementioning

confidence: 99%

Physics beyond the Standard Model from hydrogen spectroscopy

Ubachs

Koelemeij

Eikema

et al. 2016

Journal of Molecular Spectroscopy

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Correlation effects and Pekar bipolaron (arbitrary electron–phonon interaction)

Kashirina

Лахно

Sychyov

2003

Physica Status Solidi (b)

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The Buimistrov-Pekar method of canonical transformation was used to calculate the energies of the lowest singlet and triplet terms of bipolarons in crystals with ionic binding. An arbitrary electronphonon interaction described by the Fraehlich Hamiltonian was considered. It was shown that, in the whole parametric range of electron-phonon interaction, the value of the free bipolaron ground state energy obtained by the Buimistrov-Pekar method is lower than all those found by Adamowski and Bednarek in the framework of direct variational approaches, and only slightly exceeds (relative error <0.3%) those obtained by Verbist, Peeters, and Devreese by integration over trajectories for a 7. The calculations have shown that any metastable triplet states corresponding to the lowest triplet term of a bipolaron are absent for all the parameters of the electron-phonon interaction, the results being in complete analogy with Hill's theorem about the absence of any bound excited states for an H À ion. Study of a wave function of more general form has demonstrated that a two-center bipolaron is energetically less advantageous than a one-center one for all the parameters of the electron-phonon interaction. Control calculations performed with the system of functions used in this paper have yielded 1.173 a.u. for the hydrogen molecule energy, which is in good agreement with the experimental value.

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