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Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

Atomic Physics · Physics 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

Order $\alpha^2$ corrections to the decay rate of parapositronium are calculated. A QED scattering calculation of the amplitude for electron-positron annihilation into two photons at threshold is combined with the technique of effective…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gregory S. Adkins , Nathan M. McGovern , Richard N. Fell , J. Sapirstein

The ground state rotational spectrum of PH3 has been reanalyzed taking into account recently published very accurate data from sub-Doppler and conventional absorption spectroscopy measurements as well as previous data from the…

Earth and Planetary Astrophysics · Physics 2013-12-30 Holger S. P. Müller

For the S-states of positronium and muonium, the terms of an expansion of energy levels in powers of the fine structure constant $\alpha$ are also members of a "recoil series". The first two terms of that series are calculated to all orders…

High Energy Physics - Phenomenology · Physics 2007-05-23 Viktor Hund , Hartmut Pilkuhn

A two-step, two-color laser spectroscopy technique has been used to measure the hyperfine splitting of the 7p$_{1/2}$ excited state in $^{203}$Tl and $^{205}$Tl, as well as the isotope shift within the 7s$_{1/2}$ - 7p$_{1/2}$ transition.…

Atomic Physics · Physics 2015-06-17 G. Ranjit , D. Kealhofer , G. D. Vukasin , P. K. Majumder

Positronium decay rates are computed at the one-loop level, using convolution-type factorized amplitudes. The dynamics of this factorization is probed with dispersion relations, showing that unallowed approximations are usually made, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Lopez Castro , J. Pestieau , C. Smith , S. Trine

Effective potentials of the relativistic m\alpha^6 order correction for the ground state of the Coulomb two-center problem are calculated. They can be used to evaluate the relativistic contribution of that order to the energies of hydrogen…

Atomic Physics · Physics 2007-11-26 V. I. Korobov , Ts. Tsogbayar

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

Finite nuclear mass $(Z\,\alpha)^2\,m/M\,E_F$ corrections to the hyperfine splitting in hydrogenic systems are calculated using a combined relativistic heavy particle and nonrelativistic quantum electrodynamics. The obtained results are in…

Atomic Physics · Physics 2026-03-24 Jakub Hevler , Andrzej Maroń , Krzysztof Pachucki

We report the first direct measurement of the hyperfine transition of the ground state positronium. The hyperfine structure between ortho-positronium and para-positronium is about 203 GHz. We develop a new optical system to accumulate about…

High Energy Physics - Experiment · Physics 2013-05-30 T. Yamazaki , A. Miyazaki , T. Suehara , T. Namba , S. Asai , T. Kobayashi , H. Saito , I. Ogawa , T. Idehara , S. Sabchevski

The partial decay rate $\Gamma(Z\to b\bar{b})$ is significantly influenced by the mass of the top quark due to electroweak radiative corrections. The leading $\sim m_t^2$ and the next-to-leading contribution $\sim \ln m_t^2$ are known to be…

High Energy Physics - Phenomenology · Physics 2011-04-20 A. Kwiatkowski , M. Steinhauser

Order alpha^2 contribution to the orthopositronium decay rate due to one-photon virtual annihilation is found to be delta Gamma = (alpha/pi)^2 (pi^2 ln(alpha) - 0.8622(9))Gamma_LO.

High Energy Physics - Phenomenology · Physics 2009-10-31 Gregory Adkins , Kirill Melnikov , Alexander Yelkhovsky

Recently, the O(alpha) and O(alpha^3 ln(alpha)) radiative corrections to the orthopositronium lifetime have been presented in closed analytical form, in terms of basic irrational numbers that can be evaluated numerically to arbitrary…

High Energy Physics - Phenomenology · Physics 2015-05-14 B. A. Kniehl , A. V. Kotikov , O. L. Veretin

Corrections to hyperfine splitting and Lamb shift of order $\alpha^2(Z\alpha)^5$ induced by the diagrams with radiative photon insertions in the electron line are calculated in the Fried-Yennie gauge. These contributions are as large as…

High Energy Physics - Phenomenology · Physics 2016-09-01 Michael I. Eides , Valery A. Shelyuto

I present a calculation of structure functions at leading order which includes an unambiguous inclusion of the leading ln(1/x) terms for each power of alpha_s, and also the correct effects due to the mass of the charm and bottom quarks. I…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. S. Thorne

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

We present a calculation of the hyperfine splitting of the $2^3S$ state in the $^3$He atom with inclusion of all QED effects up to $\alpha^3E_F$, where $E_F$ is the Fermi splitting. Using the experimental value of the $1S$ hyperfine…

Atomic Physics · Physics 2023-12-08 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

We present a new, simplified analysis of the low-energy electron-positron interaction, and use the resulting effective theory to calculate the binding effects that contribute to the decay rate, Gamma, of orthopositronium, through…

High Energy Physics - Phenomenology · Physics 2009-12-30 Richard J. Hill , G. Peter Lepage

We present the most accurate up-to-date theoretical values of the {2p_{1/2}}-{2s} and {2p_{3/2}}-{2s} transition energies and the ground-state hyperfine splitting in ${\rm Sc}^{18+}$. All two- and three-electron contributions to the energy…

We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms ^{87}Rb, ^{133}Cs, ^{211}Fr and alkali-metal-like ions ^{135}Ba^+, ^{225}Ra^+, which are of particular interest for parity violation studies.…

Atomic Physics · Physics 2017-12-20 J. S. M. Ginges , A. V. Volotka , S. Fritzsche