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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…

Atomic Physics · Physics 2015-06-04 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

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…

Atomic Physics · Physics 2015-05-28 V. A. Yerokhin , K. Pachucki , Z. Harman , C. H. Keitel

Low-lying shell model states may be approximated accurately by a sum over products of proton and neutron states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , A. Juodagalvis , D. J. Dean

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…

Atomic Physics · Physics 2021-08-30 A. M. Volchkova , D. A. Glazov , V. M. Shabaev

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

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…

Atomic Physics · Physics 2024-04-26 Vladimir A. Yerokhin , Krzysztof Pachucki , Zoltán Harman , Christoph H. Keitel

In the paper commented on [J. Chem. Phys. 130 (2009) 144102], Cheng et al. derived a formula for the magnetic dipole shielding constant $\sigma$ for the Dirac one-electron atom in its ground state. That formula involves an infinite series…

Atomic Physics · Physics 2011-02-10 Radoslaw Szmytkowski , Patrycja Stefańska

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 $\sigma$…

Atomic Physics · Physics 2018-02-13 Patrycja Stefańska

The generalized pseudospectral method is employed to study spherical confinement in two simple Coulombic systems: (i) well celebrated and heavily studied H atom (ii) relatively less explored Hulth\'en potential. In both instances, arbitrary…

Quantum Physics · Physics 2018-02-14 Amlan K. Roy

In this paper we report generalized approach to calculate magnetic shielding factor (MSF) of multi-layer mu metal concentric cylindrical shields for arbitrary length to radius ratios and different values of magnetic permeability. We report…

General Physics · Physics 2009-10-22 S. S. Raghuwanshi , G. M. Saxena

We investigate the nuclear shadowing mechanism in the context of perturbative QCD and the Glauber multiple scattering model. Using recent HERA data on nucleon structure function at small $x$, we put stringent constrains on the nucleon gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Zheng Huang , Hung Jung Lu , Ina Sarcevic

The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with $A\le 4$. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both…

Nuclear Theory · Physics 2019-12-23 L. E. Marcucci , J. Dohet-Eraly , L. Girlanda , A. Gnech , A. Kievsky , M. Viviani

We have developed a symmetry-adapted modeling procedure for molecules and crystals. By using the completeness of multipoles to express spatial and time-reversal parity-specific anisotropic distributions, we can generate systematically the…

Materials Science · Physics 2023-05-12 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

We review self-consistent spectral methods for nuclear matter calculations. The in-medium T-matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T-matrix…

Nuclear Theory · Physics 2009-11-11 P. Bozek

The natural electromagnetic modes spontaneously emitted by an atom in free space are spherical vector waves (SVWs). Each SVW mode is uniquely linked to a specific dynamical--spherical--multipole--moment of the atomic system. In this work,…

Atomic Physics · Physics 2026-05-28 F. Camas-Aquino , R. Jáuregui

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

The paper presents the multipole expansion for the electron-nucleus scattering cross section at high energies within the framework of the unified electroweak theory. The electroweak currents of the nucleus are expanded into the simple…

High Energy Physics - Phenomenology · Physics 2023-08-08 Z. P. Luong , M. T. Vo

The non-relativistic static and dynamic dipole polarizabilities of hydrogen atom experiencing a cylindrical confinement are investigated. Two methods based on B-Splines are used for the computations of the energies and wavefunctions. The…

Atomic Physics · Physics 2013-08-15 S. A. Ndengué , O. Motapon , R. L. Melingui Melono , A. J. Etindele

According to the Schiff theorem an external electric field vanishes at atomic nucleus in a neutral atom, i.e. it is completely shielded by electrons. This makes a nuclear electric dipole moment (EDM) unobservable. In this paper an extension…

Atomic Physics · Physics 2018-10-10 V. V. Flambaum

We consider the nuclear shadowing in deep-inelastic scattering corresponding to kinematic regions accessible by future experiments at electron-ion colliders. The gluon distribution at small $x$ is obtained using an improved dipole model…

Nuclear Theory · Physics 2024-11-25 G. R. Boroun , B. Rezaei
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