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The shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions is calculated ab initio with inclusion of relativistic, nuclear, and quantum electrodynamics (QED) effects. The QED correction is evaluated to all…

原子物理 · 物理学 2015-05-28 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron…

原子物理 · 物理学 2015-06-04 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

The derivation of leading quantum electrodynamic corrections to the nuclear magnetic shielding in light hydrogen- and helium-like atomic systems is described in detail. The presented theoretical approach applies to any light atomic and…

原子物理 · 物理学 2022-04-06 Dominik Wehrli , Mariusz Puchalski , Krzysztof Pachucki

We derive finite nuclear mass and finite nuclear size corrections to the magnetic shielding in light ions. These corrections are important for the accurate determination of nuclear magnetic moments. We correct several previous formulas for…

化学物理 · 物理学 2023-12-06 Krzysztof Pachucki

The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Z\alpha expression for the recoil shift of the energy, I calculate the order…

高能物理 - 唯象学 · 物理学 2007-05-23 Alexander Yelkhovsky

The atomic hydrogen anion H$^-$ is the lightest stable anion and its bound states and resonances are well studied in the literature. Due to the planned comparison of the bare antiproton to H$^-$ in a Penning trap, we study the magnetic…

原子物理 · 物理学 2025-10-22 Tymon Kilich , Krzysztof Pachucki

We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr\"odinger perturbation theory, using the Sturmian…

量子物理 · 物理学 2018-06-12 Radosław Szmytkowski

The nuclear magnetic shielding is considered within the fully relativistic approach for the ground state of H-, Li-, and B-like ions in the range Z=32-92. The interelectronic interaction is evaluated to the first order of the perturbation…

原子物理 · 物理学 2021-08-30 A. M. Volchkova , D. A. Glazov , V. M. Shabaev

The leading quantum electrodynamic corrections to the nuclear magnetic shielding in one- and two-electron atomic systems are obtained in a complete form, and the shielding constants of $^1$H, $^3$He$^+$, and $^3$He are calculated to be…

We investigated the orbital magnetic moment of electron in the hydrogen atom in deformed space with minimal length. It turned out that corrections to the magnetic moment caused by deformation depend on one parameter in the presence of…

量子物理 · 物理学 2009-12-14 M. M. Stetsko , V. M. Tkachuk

Ab initio QED calculations of the nuclear magnetic shielding constant in helium-like ions are presented. We combine the nonrelativistic QED approach based on an expansion in powers of the fine-structure constant $\alpha$ and the so-called…

原子物理 · 物理学 2024-04-26 Vladimir A. Yerokhin , Krzysztof Pachucki , Zoltán Harman , Christoph H. Keitel

The two-dimensional hydrogen-like atom in a constant magnetic field is considered. It is found that this is actually two separate problems. One for which the magnetic field causes an effective attraction between the nucleus and the electron…

数学物理 · 物理学 2022-11-15 M. G. Naber

We present tabulated data for the nuclear magnetic shielding constants ($\sigma$) of the Dirac one-electron atoms with a pointlike, motionless and spinless nucleus of charge $Ze$. Utilizing the exact general analytical formula for $\sigma$…

原子物理 · 物理学 2018-02-13 Patrycja Stefańska

We perform a calculation of the nuclear magnetic shielding in HD and HT molecules, with complete and perturbative accounts for nuclear masses. From the difference in shielding, we obtain the deuteron and triton magnetic moments in agreement…

原子物理 · 物理学 2024-01-12 Mariusz Puchalski , Jacek Komasa , Anna Spyszkiewicz , Krzysztof Pachucki

We reexamine the role of electron binding effects in the inelastic neutrino-atom scattering induced by the neutrino magnetic moment. The differential cross section of the process is presented as a sum of the longitudinal and transverse…

高能物理 - 唯象学 · 物理学 2011-01-27 Konstantin A. Kouzakov , Alexander I. Studenikin

Although the neutron (n) does not carry a total electric charge, its charge and magnetization distributions represented in momentum space by the electromagnetic form factors, $F_1^{(n)} (q^2)$ and $F_2^{(n)} (q^2)$, lead to an…

核理论 · 物理学 2008-11-26 M. Nowakowski , N. G. Kelkar , T. Mart

We demonstrate the polarization of electron orbital angular momentum (OAM) in neutral atoms by integrating the Zeeman effect with attosecond transient absorption spectroscopy (ATAS). Using density matrix simulations, we show that in a…

原子物理 · 物理学 2025-07-04 Hongtao Hu , Sebastian Mai , Peng Peng , Andrius Baltuška , Xinhua Xie

By using perturbation theory, we show that a hydrogen atom with magnetic moment due to the orbital angular momentum of the electron has "hidden momentum" in the presence of an external electric field. This means that the atomic electronic…

量子物理 · 物理学 2015-11-18 J. S. Oliveira Filho , Pablo L. Saldanha

A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections…

量子物理 · 物理学 2019-01-29 Radosław Szmytkowski

It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(\theta\phi) \pm R_{n,n-2}(r) Y_{n-2,\pm…

高能物理 - 理论 · 物理学 2007-05-23 T. Pradhan
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