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The matrix element of a bound electron interacting with the nucleus through exchange of a Z boson is studied for the gauge invariant case of $2s_{1/2}-2p_{1/2}$ transitions in hydrogenic ions. The QED radiative correction to the matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Sapirstein , K. Pachucki , A. Veitia , K. T. Cheng

Radiative corrections to the decay rate of n=2 states of hydrogenic ions are calculated. The transitions considered are the M1 decay of the 2s state to the ground state and the E1(M2) decays of the $2p_{1/2}$ and $2p_{3/2}$ states to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Sapirstein , K. Pachucki , K. T. Cheng

We compute the reduced electric-dipole matrix elements $\langle{nS_{1/2}}||D||{n'P_J}\rangle$ with $n=6,7$ and $n'=6,7,\ldots,12$ in cesium using the most complete to date ab initio relativistic coupled-cluster method which includes…

Atomic Physics · Physics 2023-05-03 H. B. Tran Tan , A. Derevianko

As double heavy quarkonia, charmonium and bottomonium are generally considered to have small relativistic corrections and can be treated using nonrelativistic models. However, this is not always the case. In this paper, we employ the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Su-Yan Pe , Wei Li , Wen-Yuan Ke , Yi-Yi Rui , Qiang Li , Guo-Li Wang

Radiative corrections to the decay rate in the low-Z hydrogen-like muonic atoms are considered. The correction arises from the Uehling potential and it has the relative order of alpha. The numerical results are reported for the 2p-1s…

Atomic Physics · Physics 2009-10-30 Savely G. Karshenboim , Vladimir G. Ivanov

Recent progress in calculations of QED radiative corrections to parity nonconservation in atoms is reviewed. The QED vacuum polarization, the self-energy corrections and the vertex corrections are shown to be described very reliably by…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Yu. Kuchiev , V. V. Flambaum

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all orders in $\alpha Z$ using a local form of the Dirac-Fock potential. The calculations…

Atomic Physics · Physics 2009-11-11 V. M. Shabaev , I. I. Tupitsyn , K. Pachucki , G. Plunien , V. A. Yerokhin

We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the…

Atomic Physics · Physics 2025-02-07 M. G. Kozlov , M. Y. Kaygorodov , Yu. A. Demidov , V. A. Yerokhin

We estimate the nuclear polarizability correction to atomic transition frequencies in various helium isotopes. This effect is non-negligible for high precision tests of quantum electrodynamics or accurate determination of the nuclear charge…

Nuclear Theory · Physics 2015-06-26 K. Pachucki , A. M. Moro

We calculate the self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms. The sum of the corrections is of the form ${\cal A}\ln(\lambda_C/r_0)+{\calB}$, where ${\cal A}$ and ${\cal B}$ are…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1S_{1/2}$, $3^1S_{1/2}$ and $2^1P_{1/2}$ states of the Li atom and Be$^+$ ion. Our computational approach uses the…

Atomic Physics · Physics 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

The self-energy and vertex QED radiative corrections (Z alpha^2 f(Z alpha)) are shown to give a large negative contribution to the parity nonconserving (PNC) amplitude in heavy atoms. The correction -0.7(2)% found for the 6s-7s PNC…

High Energy Physics - Phenomenology · Physics 2009-08-18 M. Yu. Kuchiev , V. V. Flambaum

We use previously developed radiative potential method to calculate quantum electrodynamic (QED) corrections to energy levels and electric dipole transition amplitudes for atoms which are used for the study of the parity non-conservation…

Atomic Physics · Physics 2014-03-20 B. M. Roberts , V. A. Dzuba , V. V. Flambaum

Full one-loop radiative corrections are calculated for low energy neutrino-nucleon quasi-elastic scattering, $\bar \nu_{e}+p \longrightarrow e^{+} + n$, which involves both Fermi and Gamow-Teller transitions, in the static limit of…

High Energy Physics - Phenomenology · Physics 2011-08-11 Masataka Fukugita , Takahiro Kubota

Radiative corrections to the 2E1 decay width of the 2s-state in the low-Z hydrogen-like system are examined within logarithmic approximation. The correction is found to be 2.025(1) alpha (Z alpha)^2 / pi log(Z alpha)^2 in units of the…

Atomic Physics · Physics 2008-02-03 Savely G. Karshenboim , Vladimir G. Ivanov

Radiative muon decay in the kinematics similar to the neutrinoless decay $\mu\to e\gamma$ is considered. Radiative corrections due to 1-loop virtual photons and emission of additional soft or hard photons are taken into account. Analytical…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. B. Arbuzov , O. Krehl , E. A. Kuraev , E. N. Magar , B. G. Shaikhatdenov

We review the physics of polarization observables in high energy reactions in general and discuss the status of \NLO one--loop corrections to these observables in specific. Many high order radiative corrections exists for rates but not many…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. G. Körner , M. C. Mauser

We present a comprehensive study of the electronic transitions in neutral cadmium (Cd I) with a focus on forbidden transitions, motivated by recent advances in laser technology and the growing relevance of cadmium in quantum gas research,…

Atomic Physics · Physics 2025-10-07 P. J. Robert , S. Manzoor , M. Chiarotti , N. Poli
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