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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

The Charge-Symmetry-Breaking (CSB) character of the nucleon-nucleon interaction is well established. This work presents two different ways of introducing such effects into a nuclear Energy Density Functional (EDF). CSB terms are either…

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…

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

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

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 investigate three models for the charge symmetry breaking (CSB) of the nucleon-nucleon ($NN$) interaction (based upon $\rho$-$\omega$ mixing, nucleon mass splitting, and phenomenology) that all reproduce the empirical value for the CSB…

Nuclear Theory · Physics 2009-11-06 R. Machleidt , H. Müther

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

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

The large charge symmetry breaking (CSB) implied by the $\Lambda$ binding energy difference $\Delta B^{4}_{\Lambda}(0^+_{\rm g.s.})\equiv B_{\Lambda}(_{\Lambda}^4$He)$-$$B_{\Lambda}(_{\Lambda}^4$H) = 0.35$\pm$0.06 MeV of the $A=4$ mirror…

Nuclear Theory · Physics 2015-04-21 Avraham Gal

Isospin symmetry breaking (ISB) effects in the charge radius difference $\Delta R_{\rm ch}$ of mirror nuclei are studied using the test example of ${}^{48}$Ca and ${}^{48}$Ni. This choice allows for a transparent study of ISB contributions…

Nuclear Theory · Physics 2022-12-22 Tomoya Naito , Xavier Roca-Maza , Gianluca Colò , Haozhao Liang , Hiroyuki Sagawa

Isospin symmetry of atomic nuclei is explicitly broken by the charge-dependent interactions, primarily the Coulomb force. Within the nuclear density functional theory, isospin is also broken spontaneously. We propose a projection scheme…

Nuclear Theory · Physics 2010-10-26 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

The separation energies of the isospin triplet $^7_\Lambda\mathrm{He}$, $^7_\Lambda \mathrm{Li^{*}}$, $^7_\Lambda$Be, and the $T=1/2$ doublet $^8_\Lambda$Li, $^8_\Lambda$Be are investigated within the no-core shell model. Calculations are…

Nuclear Theory · Physics 2023-03-08 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

Based upon the Bonn meson-exchange model for the nucleon-nucleon ($NN$) interaction, we study systematically the charge-symmetry-breaking (CSB) of the $NN$ interaction due to nucleon mass splitting. Particular attention is payed to CSB…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

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

An alternative way to constrain the density dependence of the symmetry energy with the slope of the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z^{2/3}…

Nuclear Theory · Physics 2011-08-02 Min Liu , Zhuxia Li , Ning Wang , Fengshou Zhang

Charge symmetry breaking (CSB) in the strong interaction occurs because of the difference between the masses of the up and down quarks. The use of effective field theories allows us to follow this influence of confined quarks in hadronic…

Nuclear Experiment · Physics 2008-11-26 Gerald A Miller , Allena K. Opper , Edward J. Stephenson

The question of isospin-symmetry breaking in nuclei of the $sd$ shell is addressed. We propose a new global parameterization of the isospin-nonconserving (INC) shell-model Hamiltonian which accurately describes experimentally known isobaric…

Nuclear Theory · Physics 2013-07-02 Yi Hua Lam , Nadezda A. Smirnova , Etienne Caurier

Charge symmetry breaking (CSB) in the $\Lambda$-nucleon strong interaction generates a charge dependence of $\Lambda$ separation energies in mirror hypernuclei, which in the case of the $A=4$ mirror hypernuclei $0^+$ ground states is…

Nuclear Theory · Physics 2016-08-05 Daniel Gazda , Avraham Gal

Charge symmetry breaking (CSB) is particularly strong in the A=4 mirror hypernuclei $_{\Lambda}^4$H--$_{\Lambda}^4$He. Recent four-body no-core shell model calculations that confront this CSB by introducing $\Lambda$-$\Sigma^0$ mixing to…

Nuclear Theory · Physics 2018-03-08 Avraham Gal , Daniel Gazda
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