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Nuclear radius is a fundamental structural observable that informs many properties of atomic nuclei and nuclear matter. Experimental studies of radii in drip line nuclei are in the forefront of research with radioactive ion beams. Of…

Nuclear Theory · Physics 2026-03-25 Y. R. Lin , S. M. Wang , W. Nazarewicz

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

Atomic Physics · Physics 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

The effect of nuclear polarisation on the non-linearities of King plot for isotope shift in Ca$^+$, Sr$^+$ and Yb$^+$ ions is studied. These ions are currently used in search for the manifestation of new interaction via non-linearities of…

Atomic Physics · Physics 2021-12-30 P. Munro-Laylim , V. A. Dzuba , V. V. Flambaum

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

Nuclear charge radii of neutron-rich $^{47-49}$Sc isotopes were measured using collinear laser spectroscopy at CERN-ISOLDE. The new data reveal that the charge radii of scandium isotopes exhibit a distinct trend between $N=20$ and $N=28$,…

Radii of charge and neutron distributions are fundamental nuclear properties. They depend on both nuclear interaction parameters related to the equation of state of infinite nuclear matter and on quantal shell effects, which are strongly…

Nuclear Theory · Physics 2016-08-17 P. -G. Reinhard , W. Nazarewicz

Correlation between the rms nucleus charge radius and their deformation, isospin asymmetry, mass and charge numbers are presented. Four parameters radius parametrization formula is proposed. Ratio of experimental to theoretical value…

Nuclear Theory · Physics 2007-05-23 Z. Sosin

We calculate the nuclear structure corrections to the Lamb shift in muonic deuterium by using state-of-the-art nucleon-nucleon potentials derived from chiral effective field theory. Our calculations complement previous theoretical work…

Nuclear Theory · Physics 2014-08-19 Oscar Javier Hernandez , Chen Ji , Sonia Bacca , Nir Nevo Dinur , Nir Barnea

We present an ab initio method of calculation of isotope shift and relativistic shift in atoms with a few valence electrons. It is based on an energy calculation involving combination of the configuration interaction method and many-body…

Atomic Physics · Physics 2009-08-18 J. C. Berengut , V. V. Flambaum , M. G. Kozlov

A short review of existing efforts to understand charge radii and related indicators on a global scale within the covariant density functional theory (CDFT) is presented. Using major classes of covariant energy density functionals (CEDFs),…

Nuclear Theory · Physics 2022-09-13 A. V. Afanasjev , U. C. Perera , P. Ring

Charge radii can be generally used to encode information about various fine structures of finite nuclei. In this work, a constructed Bayesian neural network based on the Monte Carlo dropout approach is proposed to accurately describe the…

Nuclear Theory · Physics 2025-06-24 Zhen-Yan Xian , Yan Ya , Rong An

The kernel ridge regression (KRR) method with Gaussian kernel is used to improve the description of the nuclear charge radius by several phenomenological formulae. The widely used $A^{1/3}$, $N^{1/3}$ and $Z^{1/3}$ formulae, and their…

Nuclear Theory · Physics 2022-07-13 Jian-Qin Ma , Zhen-Hua Zhang

The present work reports results from systematic multiconfiguration Dirac-Hartree-Fock calculations of isotope shifts for several well-known transitions in neutral magnesium. Relativistic normal and specific mass shift factors as well as…

Atomic Physics · Physics 2016-07-13 Livio Filippin , Michel Godefroid , Jörgen Ekman , Per Jönsson

We extract the proton charge radius from the elastic form factor (FF) data using a novel theoretical framework combining chiral effective field theory and dispersion analysis. Complex analyticity in the momentum transfer correlates the…

High Energy Physics - Phenomenology · Physics 2019-04-09 J. M. Alarcón , D. W. Higinbotham , C. Weiss , Z. Ye

We make \textit{ab initio} predictions of charge form factors (FFs) and radii for the isoscalar nuclei $^6$Li and $^8$Be using the Jacobi-coordinate No-Core Shell Model. The calculations employ chiral semilocal momentum-space regularized…

We study the charge and mass distributions within a nucleon and compute the associated squared radii based on a potential model approach. Different constituent quark configurations such as $\Delta$, $Y$, and quark-diquark are considered and…

High Energy Physics - Phenomenology · Physics 2025-01-13 Daniel Gallimore , Jinfeng Liao

In the presented review we discuss the problem of extraction the parameters of nuclear matter and charge distribution in stable and unstable isotopes. A substantial amount of information on the nuclear radii and other distribution…

Nuclear Theory · Physics 2015-03-18 G. D. Alkhazov , I. S. Novikov , Yu. Shabelski

The present work deals with a set of problems in isotope shifts of neutral barium spectral lines. Some well known transitions ($6s^2~^1S_0-6s6p~^{1,3}P^o_1$ and $6s^2~^1S_0-6p^2~^3P_0$) are first investigated. Values of the changes in the…

Atomic Physics · Physics 2015-06-23 Cédric Nazé , Jiguang Li , Michel Godefroid

The charge radius is one of the most basic characteristics of the nucleons. The proton charge radius is especially of great importance for many applications such as the structure studies of the atomic nuclei, the determination of the…

The shell effect and isospin effect in nuclear charge radii are systematically investigated and a four-parameter formula is proposed for the description of the root-mean-square (rms) charge radii by combining the shell corrections and…

Nuclear Theory · Physics 2013-08-07 Ning Wang , Tao Li