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The recent experimental observation of isospin symmetry breaking (ISB) in the ground states of the $T=3/2$ mirror pair $^{73}$Sr - $^{73}$Br is theoretically studied using large-scale shell model calculations. The large valence space and…

Nuclear Theory · Physics 2020-09-23 S. M. Lenzi , A. Poves , A. O. Macchiavelli

Isospin-symmetry breaking is responsible for the energy difference of excited states in mirror nuclei. It also influences the coefficient of the isobaric multiplet mass equation. In the present work, we extensively investigate…

Nuclear Theory · Physics 2023-03-21 H. H. Li , Q. Yuan , J. G. Li , M. R. Xie , S. Zhang , Y. H. Zhang , X. X. Xu , N. Michel , F. R. Xu , W. Zuo

Both the Coulomb interaction and isospin symmetry breaking (ISB) parts of the nuclear interaction break the isospin symmetry in atomic nuclei. Effects of these two kinds of interaction on properties of atomic nuclei, especially, the mass…

Nuclear Theory · Physics 2023-06-22 Tomoya Naito , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza , Hiroyuki Sagawa

Effects of the isospin-symmetry breaking (ISB) beyond mean-field Coulomb terms are systematically studied in nuclear masses near the $N=Z$ line. The Coulomb exchange contributions are calculated exactly. We use extended Skyrme energy…

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

In order to comprehend the process underlying mirror energy differences in mirror pairs, we have performed shell-model calculations for $T_z= \pm 2$ $sd$-shell nuclei in the mass range $A$= 20 to 36 and neutron number varying from $N$= 8 to…

Nuclear Theory · Physics 2025-12-23 Sakshi Shukla , Praveen C. Srivastava , Kazunari Kaneko

In this study, we developed and tested two different isospin symmetry-breaking (ISB) versions of the microscopic DJ16A interaction. Starting with the isospin symmetric DJ16A interaction, we introduced two different Coulomb interactions-…

Nuclear Theory · Physics 2025-01-15 Chandan Sarma , Praveen C. Srivastava , Toshio Suzuki , Noritaka Shimizu

Modern nucleon-nucleon (NN) potentials, which accurately fit the nucleon-nucleon scattering phase shifts, contain terms which break isospin symmetry. The effects of these symmetry violating terms on the bulk properties of nuclear matter are…

Nuclear Theory · Physics 2009-10-31 H. Muether , A. Polls , R. Machleidt

Isospin is an approximate symmetry in atomic nuclei, arising from the rather similar properties of protons and neutrons. Perhaps the clearest manifestation of isospin within nuclei is in the near-identical structure of excited states in…

Nuclear Experiment · Physics 2020-10-07 J. Henderson , S. R. Stroberg

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

We propose a new approach to determine the strength of the charge symmetry breaking (CSB) term in the framework of nuclear density functional theory. It is shown that once ab initio calculations are available including accurate description…

Nuclear Theory · Physics 2022-02-14 Tomoya Naito , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza , Hiroyuki Sagawa

The importance of the isospin symmetry and its breaking in elucidating the properties of atomic nuclei is reviewed. The quark mass splitting and the electromagnetic origin of the isospin symmetry breaking (ISB) for nuclear many-body problem…

Nuclear Theory · Physics 2024-05-09 J. A. Sheikh , S. P. Rouoof , R. N. Ali , N. Rather , Chandan Sarma , P. C. Srivastava

We study the charge symmetry breaking (CSB) effect in the binding energy of mirror hypernuclei in the mass region $A=7\sim 48$ in relativistic mean field (RMF) models introducing $NN$ and $\Lambda N$ interactions. The phenomenological…

Nuclear Theory · Physics 2025-04-21 Ting-Ting Sun , Yusuke Tanimura , Hiroyuki Sagawa , Emiko Hiyama

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

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects…

Nuclear Theory · Physics 2009-09-02 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

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

Coulomb displacement energies, i.e., the differences between the energies of corresponding nuclear states in mirror nuclei, are evaluated using recent models for the nucleon-nucleon (NN) interaction. These modern NN potentials account for…

Nuclear Theory · Physics 2009-10-31 C. Harzer , H. Müther , R. Machleidt

This paper overviews various phenomena related to the concept of isospin symmetry. The focus is on N~Z nuclei, which are excellent laboratories of isospin physics. The theoretical framework applied is nuclear Density Functional Theory and…

Nuclear Theory · Physics 2016-03-04 Wojciech Satula , Witold Nazarewicz

We propose a new observable, named the mirror-skin thickness, in order to extract the strength of the charge symmetry breaking (CSB) term in an energy density functional (EDF). The mirror-skin thickness of $ N = 20 $ isotones and $ Z = 20 $…

Nuclear Theory · Physics 2025-08-01 Tomoya Naito , Yuto Hijikata , Juzo Zenihiro , Gianluca Colò , Hiroyuki Sagawa

We have studied the influences of isospin symmetry breaking of nucleon-nucleon interaction on the various properties of asymmetrical nuclear matter and $\beta$-stable matter. For asymmetrical nuclear matter, it is found that by including…

Nuclear Theory · Physics 2009-11-10 G. H. Bordbar
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