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A series expansion of the interaction between a nucleus and its surrounding electron distribution provides terms that are well-known in the study of hyperfine interactions: the familiar quadrupole interaction and the less familiar…

Atomic and Molecular Clusters · Physics 2015-05-14 Katrin Koch , Klaus Koepernik , Dimitri Van Neck , Helge Rosner , Stefaan Cottenier

Recent work has shown that a finite harmonic oscillator basis in nuclear many-body calculations effectively imposes a hard-wall boundary condition in coordinate space, motivating infrared extrapolation formulas for the energy and other…

Nuclear Theory · Physics 2013-04-25 S. N. More , A. Ekstrom , R. J. Furnstahl , G. Hagen , T. Papenbrock

Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared scaling variable and give values for this nucleus-dependent quantity. We…

Nuclear Theory · Physics 2015-02-06 R. J. Furnstahl , G. Hagen , T. Papenbrock , K. A. Wendt

With the aim of providing high accuracy post-Newtonian (PN) templates for the analysis of gravitational waves generated by compact binary systems, we complete the analytical derivation of the source type mass quadrupole moment of compact…

General Relativity and Quantum Cosmology · Physics 2022-06-22 François Larrouturou , Quentin Henry , Luc Blanchet , Guillaume Faye

The direct transition-matrix approach to determination of the electric polarizabilities of quantum bound systems developed in my recent work is applied to study the electric multipole polarizabilities of a two-particle bound complex with a…

Nuclear Theory · Physics 2015-06-11 V. F. Kharchenko

Higher-rank electric/magnetic multipole moments are attracting attention these days as candidate order parameters for exotic material phases. However, quantum-mechanical formulation of those multipole moments is still an ongoing issue. In…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Akito Daido , Atsuo Shitade , Youichi Yanase

The influence of oscillating quadrupole fields on atomic energy levels is examined theoretically and general expressions for the quadrupole matrix elements are given. The results are relevant to any ion-based clock in which one of the clock…

Quantum Physics · Physics 2019-03-06 Kyle J. Arnold , R. Kaewuan , T. R. Tan , M. D. Barrett

Electric quadrupole (E2) matrix elements provide a measure of nuclear deformation and related collective structure. Ground-state quadrupole moments in particular are known to high precision in many p-shell nuclei. While the experimental…

Nuclear Theory · Physics 2021-10-04 M. A. Caprio , P. J. Fasano , P. Maris , A. E. McCoy

Molecular hydrogen ions are of metrological relevance due to the possibility of precise theoretical evaluation of their spectrum and of external-field-induced shifts. In homonuclear molecular ions the electric dipole $E1$ transitions are…

Atomic Physics · Physics 2021-01-20 P. Danev , D. Bakalov , V. I. Korobov , S. Schiller

We consider few problems which are related to the deuteron and have simple analytical solution. Relation is found between the deuteron electric quadrupole moment and the $np$-scattering amplitude. The degree of circular polarization of…

Nuclear Theory · Physics 2009-11-06 I. B. Khriplovich

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

In this article we present some recent results on identifying correctly the relativistic multipole moments of numerically constructed spacetimes, and the consequences that this correction has on searching for appropriate analytic spacetimes…

General Relativity and Quantum Cosmology · Physics 2012-11-28 George Pappas , Theocharis A Apostolatos

Relativistic formulas for the electric quadrupole moment of a hydrogenlike atom, induced by the hyperfine interaction, are derived for $ns_{1/2}$ and $np_{1/2}$ states. Both the magnetic dipole and electric quadrupole hyperfine interactions…

Atomic Physics · Physics 2009-11-11 Y. S. Kozhedub , V. M. Shabaev

The systematic shifts of the transition frequencies in the molecular hydrogen ions are of relevance to ultra-high-resolution radio-frequency, microwave and optical spectroscopy of these systems, performed in ion traps. We develop the…

Atomic Physics · Physics 2015-06-16 Dimitar Bakalov , Stephan Schiller

Quadrupole moments of decuplet baryons and the octet-decuplet transition quadrupole moments are calculated using Morpurgo's general QCD parameterization method. Certain relations among the decuplet and the octet to decuplet transition…

High Energy Physics - Phenomenology · Physics 2019-08-28 A. J. Buchmann , E. M. Henley

We theoretically investigate the influence of the fluctuating Overhauser field on the spin of an electron confined to a quantum dot (QD). The fluctuations arise from nuclear angular momentum being exchanged between different nuclei via the…

Mesoscale and Nanoscale Physics · Physics 2014-05-07 Erik Welander , Evgeny Chekhovich , Alexander Tartakovskii , Guido Burkard

We calculate expressions for the quadrupole moments of nonstrange baryons in which the number of QCD color charges is N_c. Using only the assumption of single-photon exchange, we obtain 4 relations among the 6 moments, and show how all of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alfons J. Buchmann , Janice A. Hester , Richard F. Lebed

We present here a new determination of the quadrupole moment Q of hyperfine-probe-nuclei states of three different In isotopes: the 5+ 192 keV excited state of 114In (probe for Nuclear Orientation experiments), the 9/2+ ground state of…

Nuclear Experiment · Physics 2007-05-23 L. A. Errico , M. Weissmann , M. Renteria

This paper proposes an algorithm for image processing, obtained by adapting to image maps the definitions of two well-known physical quantities. These quantities are the dipole and quadrupole moments of a charge distribution. We will see…

Computer Vision and Pattern Recognition · Computer Science 2009-02-25 Amelia Sparavigna

The nuclear compressibility has a role in nuclear physics in several ways. Its relationship to the giant monopole is well known and has been subject of much theoretical work. Less well known is its affect on in nuclear structure, namely…

Nuclear Theory · Physics 2019-04-26 G. F. Bertsch
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