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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 finite-nuclear size correction to the fine structure of muonic atoms are considered. The procedure for the analytical calculation of the energies and wave functions has been derived in a homogeneously charged sphere nuclear charge…

原子物理 · 物理学 2017-11-20 Abu Saleh Musa Patoary , Natalia S. Oreshkina

Based on the proposed representation of the Mott corrections to the Bethe stopping formula in the form of rapidly convergent series of quantities bilinear in the Mott partial amplitudes, the numerical calculations were performed for these…

核理论 · 物理学 2020-06-11 O. Voskresenskaya

We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number $N$ of…

数学物理 · 物理学 2015-05-18 Natalie Gilka

Radiative corrections to electronic structure are characterized by perturbative expansions in $\alpha$ and $Z\alpha$, where $\alpha$ is the fine-structure constant and $Z$ is the nuclear charge. A formulation of the leading-order…

原子物理 · 物理学 2024-08-08 D. J. Flynn , I. P. Grant , H. M. Quiney

We apply the Born--Oppenheimer approximation to a harmonic diatomic molecule with one electron. We compare the exact and approximate results not only for the internal degrees of freedom but also for the motion of the center of mass. We…

数学物理 · 物理学 2017-07-18 Francisco M. Fernández

Using the Mott exact cross section for moderate relativistic energies, we calculated the corrections to the first-order Born higher moments of the energy-loss distribution of charged particles in a wide range of the particle charge numbers.

高能物理 - 唯象学 · 物理学 2020-06-15 O. Voskresenskaya

Metrology in atomic physics has been crucial for a number of advanced determinations of fundamental constants. In addition to very precise frequency measurements, the molar polarizability of an atomic gas has recently also been measured…

原子物理 · 物理学 2013-09-10 U. D. Jentschura , M. Puchalski , P. J. Mohr

We calculate isotope mass shift for several light ions using Dirac wave functions and mass shift operator with relativistic corrections of the order of $(\alpha Z)^2$. Calculated relativistic corrections to the specific mass shift vary from…

天体物理学 · 物理学 2009-11-13 V. A. Korol , M. G. Kozlov

Describing the dynamics of nuclei in molecules requires a potential energy surface, which is traditionally provided by the Born-Oppenheimer or adiabatic approximation. However, we also need to assign masses to the nuclei. There, the…

The effect of finite nuclear mass on the magnetic-dipole transition probabilities between fine-structure levels of the same term is investigated. Based on a rigorous QED approach a nonrelativistic formula for the recoil correction to first…

原子物理 · 物理学 2009-11-13 A. V. Volotka , D. A. Glazov , G. Plunien , V. M. Shabaev , I. I. Tupitsyn

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

原子物理 · 物理学 2017-01-02 Babak Nadiri Niri

Nuclear polarization corrections to the 2P-2S Lamb shift in mu-d atoms are developed in order alpha^5 and are shown to agree with a recent calculation. The nuclear physics in the resulting corrections is then evaluated in zero-range…

核理论 · 物理学 2013-10-30 J. L. Friar

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…

原子物理 · 物理学 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

The scalar, vector, and tensor components of the (generalized) deuteron electric polarizability are calculated, as well as their logarithmic modifications. Several of these quantities arise in the treatment of the nuclear corrections to the…

核理论 · 物理学 2014-11-18 J. L. Friar , G. L. Payne

We compute finite-size corrections to nucleon masses and magnetic moments in a periodic, spatial box of size L, both in QCD and in partially-quenched QCD.

高能物理 - 格点 · 物理学 2014-11-17 Silas R. Beane

Boundary-dependent radiative corrections that modify the magnetic moment of an electron near a dielectric or conducting surface are investigated. Normal-mode quantization of the electromagnetic field and perturbation theory applied to the…

量子物理 · 物理学 2013-02-12 Robert Bennett , Claudia Eberlein

Atomic high-precision measurements have become a competitive and essential technique for tests of fundamental physics, the Standard Model, and our theory of gravity. It is therefore self-evident that such measurements call for a consistent…

量子物理 · 物理学 2024-05-24 Tobias Asano , Enno Giese , Fabio Di Pumpo

We illustrate how nuclear polarization corrections in muonic atoms can be formally connected to inelastic response functions of a nucleus. We first discuss the point-nucleon approximation and then include finite-nucleon-size corrections. As…

核理论 · 物理学 2014-08-05 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea

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
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