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Differences in the charge radii of mirror nuclei have been recently suggested to contain information on the slope of the symmetry energy L. To test this hypothesis, we perform statistical correlation analysis using quantified energy density…

Nuclear Theory · Physics 2022-02-16 Paul-Gerhard Reinhard , Witold Nazarewicz

It has been recently suggested that differences in the charge radii of mirror nuclei are proportional to the neutron-skin thickness of neutron-rich nuclei and to the slope of the symmetry energy $L$ [B.A. Brown Phys. Rev. Lett. 119, 122502…

Nuclear Theory · Physics 2018-01-31 Junjie Yang , J. Piekarewicz

Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($\Delta R_{ch}$) and slope of nuclear symmetry energy (L) are…

Nuclear Theory · Physics 2024-01-30 Sakshi Gautam , Anagh Venneti , Sarmistha Banik , Bijay Agrawal

I present a critical review of absolute root-mean-square charge radii of stable nuclei from $Z=3$ to $Z=32$, which includes a previously overlooked uncertainty in the combined analysis of muonic x-ray and electron scattering experiments.…

Nuclear Experiment · Physics 2025-07-08 Ben Ohayon

It has recently been suggested that differences in the charge radii of mirror nuclei ($\Delta R^{\rm mirr}_{\rm ch}$) are strongly correlated with the neutron-skin thickness ($R_{\rm skin}$) of neutron-rich nuclei and with the slope of the…

Nuclear Theory · Physics 2024-09-02 Bai-Shan Hu

New formulas to calculate the nuclear charge radii and the nuclear binding energies have been derived in the framework of an alpha-cluster model. The particular features of the model are two assumptions that the proton-neutron pair…

Nuclear Theory · Physics 2007-05-23 G. K. Nie

The correlation between the charge radii differences in mirror nuclei pairs and the neutron skin thickness has been studied with the so-called finite range simple effective interaction over a wide mass region. The so far precisely measured…

Nuclear Theory · Physics 2023-08-02 P. Bano , S. P. Pattnaik , M. Centelles , X. Viñas , T. R. Routray

A correlation between the charge radii difference of mirror partner nuclei $\Delta{R_{\mathrm{ch}}}$ and the slope parameter $L$ of symmetry energy has been built to ascertain the equation of state of isospin asymmetric nuclear matter. In…

Nuclear Theory · Physics 2024-09-04 Xiao-Rong Ma , Shuai Sun , Rong An , Li-Gang Cao

We show that the charge radii of neighboring atomic nuclei, independent of atomic number and charge, follow remarkably very simple relations, despite the fact that atomic nuclei are complex finite many-body systems governed by the laws of…

Nuclear Theory · Physics 2014-11-25 B. H. Sun , Y. Lu , J. P. Peng , C. Y. Liu , Y. M. Zhao

The nuclear charge radius plays a vital role in determining the equation of state of isospin asymmetric nuclear matter. Based on the correlation between the differences in charge radii of mirror-partner nuclei and the slope parameter ($L$)…

Nuclear Theory · Physics 2023-09-19 Rong An , Shuai Sun , Li-Gang Cao , Feng-Shou Zhang

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

Charge radii are sensitive indicators to identify the nuclear structure phenomena throughout the whole nuclide chart. In particular, the shrunken trend of changes of charge radii along a long isotopic chain is intimately associated with the…

Nuclear Theory · Physics 2025-06-17 Yu-Ting Rong , Ping-Mo Liu , Dan Yang , Rong An

We present a systematic study of both nuclear radii and binding energies in (even) oxygen isotopes from the valley of stability to the neutron drip line. Both charge and matter radii are compared to state-of-the-art {\it ab initio}…

Nuclear Experiment · Physics 2016-08-03 V. Lapoux , V. Somà , C. Barbieri , H. Hergert , J. D. Holt , S. R. Stroberg

The nuclear root-mean-square charge radius of $^{54}$Ni was determined with collinear laser spectroscopy to be $R(^{54}$Ni) = 3.737\,(3)~fm. In conjunction with the known radius of the mirror nucleus $^{54}$Fe, the difference of the charge…

A unified description of the charge radii throughout the entire nuclide chart plays an essential role for our understanding of nuclear structure and fundamental nuclear interactions. In this work, the influence of new term, which catches…

Nuclear Theory · Physics 2025-08-05 Rong An , Shuai Sun , Xiang Jiang , Na Tang , Li-Gang Cao , Feng-Shou Zhang

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

The neutron skin of atomic nuclei impacts the structure of neutron-rich nuclei, the equation of state of nucleonic matter, and the size of neutron stars. Here we predict the neutron skin of selected light- and medium-mass nuclei using…

Nuclear Theory · Physics 2023-01-23 S. J. Novario , D. Lonardoni , S. Gandolfi , G. Hagen

The neutron skin of nuclei is an important fundamental property, but its accurate measurement faces many challenges. Inspired by charge symmetry of nuclear forces, the neutron skin of a neutron-rich nucleus is related to the difference…

Nuclear Theory · Physics 2020-12-02 M. K. Gaidarov , I. Moumene , A. N. Antonov , D. N. Kadrev , P. Sarriguren , E. Moya de Guerra

Nuclear charge radii of $^{55,56}$Ni were measured by collinear laser spectroscopy. The obtained information completes the behavior of the charge radii at the shell closure of the doubly magic nucleus $^{56}$Ni. The trend of charge radii…

The alpha-cluster model is based on two assumptions that the proton-neutron pair interactions are responsible for adherence between alpha-clusters and that the NN-interaction in the alpha-clusters is isospin independent. It allows one to…

Nuclear Theory · Physics 2010-10-27 G. K. Nie
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