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Nuclear charge radii of $^{7,9,10,11}$Be have been determined by high-precision laser spectroscopy. On-line measurements were performed with collinear laser spectroscopy in the $2s_{1/2} \to 2p_{1/2}$ transition on a beam of Be$^{+}$ ions.…

The accuracy of atomic theory calculations limits the extraction of nuclear charge radii from isotope shift measurements of odd-proton nuclei. For Na isotopes, though precise spectroscopic measurements have existed since more than half a…

Atomic Physics · Physics 2022-03-31 B. Ohayon , R. F. Garcia Ruiz , Z. H. Sun , G. Hagen , T. Papenbrock , B. K. Sahoo

We introduce a hierarchical framework that combines ab initio many-body calculations with a Bayesian neural network, developing emulators capable of accurately predicting nuclear properties across isotopic chains simultaneously and being…

Nuclear Theory · Physics 2026-04-01 Antoine Belley , Jose M. Munoz , Ronald F. Garcia Ruiz

Inspired by the profoundly observed odd-even staggering and the inverted parabolic-like shape in charge radii along calcium isotopic chain, the ground state properties of calcium isotopes are investigated by constraining the…

Nuclear Theory · Physics 2025-06-24 Rong An , Xiang Jiang , Na Tang , Li-Gang Cao , Feng-Shou Zhang

We compute the charge radii of even-mass neon and magnesium isotopes from neutron number N = 8 to the dripline. Our calculations are based on nucleon-nucleon and three-nucleon potentials from chiral effective field theory that include delta…

Nuclear Theory · Physics 2020-11-24 S. J. Novario , G. Hagen , G. R. Jansen , T. Papenbrock

Changes in the mean-square nuclear charge radii along the lithium isotopic chain were determined using a combination of precise isotope shift measurements and theoretical atomic structure calculations. Nuclear charge radii of light elements…

The nuclear charge radius is a fundamental observable that encodes key aspects of nuclear structure, deformation, and pairing. Isotonic (constant neutron number) systematics in the deformed rare-earth region have long suggested that odd-$Z$…

Radii of nuclear charge distributions carry information about the strong and electromagnetic forces acting inside the atomic nucleus. While the global behavior of nuclear charge radii is governed by the bulk properties of nuclear matter,…

Systematic trends in nuclear charge radii are of great interest due to universal shell effects and odd-even staggering (OES). The modified root mean square (rms) charge radius formula, which phenomenologically accounts for the formation of…

Nuclear Theory · Physics 2022-05-10 Rong An , Xiang Jiang , Li-Gang Cao , Feng-Shou Zhang

The model inputs play a key role in the performance of the Bayesian optimization approach. In this paper, we investigate the influence of the inputs on the improved predictions of phenomenological nuclear charge radius formulas using an…

Nuclear Theory · Physics 2024-05-22 Song-Bo Zhao , Lu Sun , Cai-Xin Yuan , Ying-Chen Mao

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from $_{58}$Ce to $_{74}$W) is carried out in the framework of the interacting boson model (IBM), leading to an accurate description of the…

Nuclear Theory · Physics 2012-04-06 S. Zerguine , P. Van Isacker , A. Bouldjedri

Charge radii measured with high accuracy provide a stringent benchmark for characterizing nuclear structure phenomena. In this work, the systematic evolution of charge radii for nuclei with $Z=19$-$29$ is investigated through relativistic…

Nuclear Theory · Physics 2024-06-05 Rong An , Xiang Jiang , Na Tang , Li-Gang Cao , Feng-Shou Zhang

We study the consistency of the description of charge distributions and radii of nuclear clusters obtained with semiclassical nuclear pasta models. These nuclei are expected to exist in the low density outer crust of neutron stars.…

Nuclear Theory · Physics 2009-04-07 M. A. Perez-Garcia

Pronounced changes of nuclear charge radii provide a stringent benchmark on the theoretical models and play a vital role in recognizing various nuclear phenomena. In this work, the systematic evolutions of nuclear charge radii along even…

Nuclear Theory · Physics 2023-03-28 Rong An , Xiao-Xu Dong , Li-Gang Cao , Feng-Shou Zhang

In this paper we study the issue of the puzzle of the radii of calcium isotopes. Despite an excess of eight neutrons, strangely $^{48}{\rm Ca}$ exhibits essentially the same charge radius as $^{40}{\rm Ca}$ does. A fundamental microscopic…

Nuclear Theory · Physics 2019-08-14 Syed Afsar Abbas , Anisul Ain Usmani , Usuf Rahaman , Mohammad Ikram

We find a new method to deduce nuclear radii from proton-nucleus elastic scattering data. In this method a nucleus is viewed as a ``black'' sphere. A diffraction pattern of protons by this sphere is equivalent to that of the Fraunhofer…

Nuclear Theory · Physics 2009-11-10 Akihisa Kohama , Kei Iida , Kazuhiro Oyamatsu

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

Charge radii are investigated along the Tin isotopic chain via ab initio Bogoliubov coupled cluster calculations at the singles and doubles level. In addition to the reproduction of absolute radii, the parabolic behavior of isotopic shifts…

Nuclear Theory · Physics 2026-05-29 Pepijn Demol , Urban Vernik , Thomas Duguet , Alexander Tichai

The extended kernel ridge regression (EKRR) method with odd-even effects was adopted to improve the description of the nuclear charge radius using five commonly used nuclear models. These are: (i) the isospin dependent $A^{1/3}$ formula,…

Nuclear Theory · Physics 2024-04-22 Lu Tang , Zhen-Hua Zhang