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Exact analytical expressions for the matrix elements of the Uehling potential in a basis of explicitly correlated exponential wave functions are presented. The obtained formulas are then used to compute with an improved accuracy the vacuum…

Atomic Physics · Physics 2013-07-24 Jean-Philippe Karr , Laurent Hilico

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm

The contribution of hadronic vacuum polarization (HVP) to the hyperfine splitting of the muonium ground state is evaluated with the account of modern experimental data on the cross section of $e^+e^- \to$ annihilation into hadrons.

High Energy Physics - Phenomenology · Physics 2011-04-15 R. N. Faustov , A. Karimkhodzhaev , A. P. Martynenko

We compute the full one-loop Electro-Weak (EW) contributions of O(alpha_S alpha_EM^3) entering the electron-positron into a quark-antiquark pair plus one gluon cross section at the Z peak and LC energies in presence of polarisation of the…

High Energy Physics - Phenomenology · Physics 2009-03-04 C. M. Carloni Calame , S. Moretti , F. Piccinini , D. A. Ross

We present a complete reevaluation of the irreducible two-loop vacuum-polarization correction to the photon propagator in quantum electrodynamics, i.e. with an electron-positron pair in the fermion propagators. The integration is carried…

High Energy Physics - Phenomenology · Physics 2024-07-11 S. Laporta , U. D. Jentschura

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The $m\alpha^7 \ln(\alpha)$-order radiative correction is derived in the NRQED framework.…

Atomic Physics · Physics 2022-09-14 Mohammad Haidar , Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , R. V. Popov , V. M. Shabaev , N. A. Zubova

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

High Energy Physics - Phenomenology · Physics 2023-11-28 Eugen Dizer , Zoltán Harman

We apply worldline methods to the study of vacuum polarisation effects in plane wave backgrounds, in both scalar and spinor QED. We calculate helicity-flip probabilities to one loop order and treated exactly in the background field, and…

High Energy Physics - Theory · Physics 2016-04-13 Anton Ilderton , Greger Torgrimsson

We present simple analytic expressions to compute the hadronic vacuum polarization contribution to the muon $g$-2 in the space-like region up to next-to-next-to-leading order. These results can be employed in lattice QCD calculations of…

High Energy Physics - Phenomenology · Physics 2022-09-28 Elisa Balzani , Stefano Laporta , Massimo Passera

We report on three-dimensional (3D) electron momentum distributions from single ionization of helium by a laser pulse consisting of two counterrotating circularly polarized fields (390 nm and 780 nm). A pronounced 3D low energy structure…

We calculate the polarization of $\Lambda$ hyperons in Au-Au collisions at RHIC Beam Energy Scan range $\sqrt{s_{\rm NN}}=7.7, \dots, 200$ GeV in a state-of-the-art 3+1 dimensional cascade + viscous hydro model vHLLE+UrQMD. We find that the…

Nuclear Theory · Physics 2017-03-08 Iu. Karpenko , F. Becattini

In this work, we propose an efficient and accurate computational method to evaluate the many-potential $\alpha\left(Z\alpha\right)^{n\ge3}$ vacuum polarization density of hydrogen-like atoms within the finite-basis approximation of the…

Atomic Physics · Physics 2023-07-26 Maen Salman , Trond Saue

We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and alpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems using the formalism of nonrelativistic quantum electrodynamics. We obtain general results…

Atomic Physics · Physics 2009-11-11 Ulrich D. Jentschura , Andrzej Czarnecki , Krzysztof Pachucki

Three--loop contributions to massive QED vacuum polarization are evaluated by a combination of analytical and numerical techniques. The first three Taylor coefficients, at small $q^2$, are obtained analytically, using $d$\/--dimensional…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. A. Baikov , D. J. Broadhurst

In 2+1 dimensions there exists a duality between a charged Dirac particle coupled minimally to a background vector potential and a neutral one coupled nonminimally to a background electromagnetic field strength. A constant uniform…

High Energy Physics - Theory · Physics 2009-10-31 Qiong-gui Lin

The polarization degrees-of-freedom in electronuclear two-nucleon knockout reactions are discussed. Model calculations for the unpolarized $^{16}$O(e,e$'$pp) cross sections at ($\mid \vec{q} \mid$,$\omega$)=(210 MeV,300 MeV/c) are compared…

Nuclear Theory · Physics 2016-09-08 J. Ryckebusch , D. Debruyne , W. Van Nespen

A theoretical study of the polarization entanglement of two photons emitted in the decay of metastable ionic states is performed within the framework of density matrix theory and second-order perturbative approach. Particular attention is…

Nonperturbative vacuum polarization effects are explored for a supercritical Coulomb source with $Z>Z_{cr}$ in 1+1 D. Both the vacuum charge density $\rho_{vac}(x)$ and vacuum energy $E_{vac}$ are considered. It is shown that in the…

High Energy Physics - Theory · Physics 2018-01-08 Andrey Davydov , Konstantin Sveshnikov , Yulia Voronina
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