Comments to On the Accuracy of Lamb Shift Measurements in Hydrogen (Physica Scripta, 55 (1997) 33-40) by V. G. Pal'chikov, Yu. L. Sokolov, and V. P. Yakovlev

The work is a comments on the article of V. G. Pal'chikov, Yu. L. Sokolov, and V. P. Yakovlev, devoted to the measurement of the Lamb shift in the hydrogen atom and published in Physica Scripta, 55 (1997) 33-40.Comment: 4 pages; [email protected]

Constraints on a long-range spin-dependent interaction from precision atomic physics

We present a phenomenological constraint on a pseudovector light boson beyond the Standard Model, which can induce a long-range spin-dependent interaction $\alpha^{\prime\prime}({\bf s}_1\cdot{\bf s}_2)\,{\rm e}^{-\lambda r}/r$. In the range of masses from $4\;{\rm keV}/c^2$ to those related to macroscopic distances (of $\lambda^{-1}\sim1\;$cm) the spin-dependent coupling constant $\alpha^{\prime\prime}$ of the electron-muon interaction is constrained at the level below a part in $10^{15}$. The constraint is weakened while extending to higher masses. The strongest constraint is related to the lepton-lepton interaction. Constraints on spin-dependent interactions of some other particles are also discussed. The results are obtained from data on the HFS interval of the ground state in muonium and a few other light hydrogen-like atoms.Comment: Cross references to Arxiv are updated (arXiv:1005.4859, arXiv:1005.4872

Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with electron and muon vacuum polarizations. We calculate single-logarithmic and nonlogarithmic contributions of order $\alpha^3(m/M)E_F$ generated by gauge invariant sets of diagrams with electron and muon polarization insertions in the electron and muon factors. Combining the new contributions with our older results we present complete result for all three-loop radiative-recoil corrections generated by the diagrams with electron and muon polarization loops.Comment: 8 pages, 10 figures. Editorial changes, results unchanged. Version published in Phys.Rev.Let

Quantum electrodynamic corrections to the hyperfine structure of excited S states

State-dependent quantum electrodynamic corrections are evaluated for the hyperfine splitting of nS states for arbitrary principal quantum number n. The calculations comprise both the self-energy and the vacuum-polarization correction of order alpha(Z alpha)^2 E_F and the recoil correction of order (Z alpha)^2 (m/M) E_F. Higher-order corrections are summarized and partly reevaluated as well. Accurate predictions for hydrogen hyperfine splitting intervals of nS states with n=2,...,8 are presented. The results obtained are important due to steady progress in hydrogen spectroscopy for transitions involving highly excited S states.Comment: 9 pages, RevTeX; to appear in Physical Review

Precision physics of simple atoms and constraints on a light boson with ultraweak coupling

Constraint on spin-dependent and spin-independent Yukawa potential at atomic scale is developed. That covers constraints on a coupling constant of an additional photon $\gamma^*$ and a pseudovector boson. The mass range considered is from $1\;{\rm eV}/c^2$ to $1\;{\rm MeV}/c^2$. The strongest constraint on a coupling constant $\alpha^\prime$ is at the level of a few parts in $10^{13}$ (for $\gamma^*$) and below one part in $10^{16}$ (for a pseudovector) corresponding to mass below $1\;{\rm keV}/c^2$. The constraints are derived from low-energy tests of quantum electrodynamics and are based on spectroscopic data on light hydrogen-like atoms and experiments with magnetic moments of leptons and light nuclei

Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z

Effects of vacuum polarization modify the energy levels in atoms with an orbiting particle heavier than an electron. The dominant effect is due to the Uehling potential. In this paper we consider the relativistic corrections to the energy levels caused by the Uehling potential and in particular the fine structure in muonic and antiprotonic atoms. We derive general expressions and consider in detail specific regions of parameters which allow simple asymptotic expansion. We take into account the recoil effects and anomalous magnetic moment in the case of an antiproton as the orbiting particle

HFS interval of the 2s2s state of hydrogen-like atoms and a constraint on a pseudovector boson with mass below 1 1\;keV/c2/c^2

A constraint on a long-range spin-dependent interaction $\alpha^{\prime\prime}({\bf s}_1\cdot{\bf s}_2)\,{\rm e}^{-\lambda r}/r$, which can be induced by a pseudovector light boson, is presented. We study theoretical and experimental data on a specific difference $8\times E_{\rm hfs}(2s)-E_{\rm hfs}(1s)$ for light two-body atoms. The spin-dependent coupling constant $\alpha^{\prime\prime}$ of electron-nucleus interaction in hydrogen, deuterium and helium-3 ion is constrained at the level below a part in $10^{16}$. The derived constraints are related to the range of masses below $4\;{\rm keV}/c^2$.Comment: Cross references to Arxiv are updated (arXiv:1005.4859, arXiv:1005.4868

High-Precision Optical Measurement of the 2S Hyperfine Interval in Atomic Hydrogen

We have applied an optical method to the measurement of the 2S hyperfine interval in atomic hydrogen. The interval has been measured by means of two-photon spectroscopy of the 1S-2S transition on a hydrogen atomic beam shielded from external magnetic fields. The measured value of the 2S hyperfine interval is equal to 177 556 860(15) Hz and represents the most precise measurement of this interval to date. The theoretical evaluation of the specific combination of 1S and 2S hyperfine intervals D_21 is in moderately good agreement with the value for D_21 deduced from our measurement

The Uehling correction to the energy levels in a pionic atom

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l=n-1). The result is obtained in a closed analytic form as a function of $Z\alpha$ and the pion-to-electron mass ratio. Certain asymptotics of the result are also presented

Two-body effects in the decay rate of atomic levels

Recoil corrections to the atomic decay rate are considered in the order of Zm/M . The expressions are treated exactly without any expansion over Z alpha. The expressions obtained are valid both for muonic atoms (for which they contribute on the level of a few percent in high Z ions) and for electronic atoms. Explicit results for Lyman-alpha transitions for low-Z of the order (Zm/M)(Z alpha)^2 are also presented.Comment: 5 pages, 1 table, email: [email protected]