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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

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

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

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

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

We study the binding energy differences of the valence proton and neutron of the mirror nuclei, $^{15}$O - $^{15}$N, $^{17}$F - $^{17}$O, $^{39}$Ca - $^{39}$K and $^{41}$Sc - $^{41}$Ca, using the quark-meson coupling model. The calculation…

Nuclear Theory · Physics 2009-11-06 K. Saito

An approach is proposed to link the charge symmetry breaking (CSB) nuclear interaction and the low-energy constants in quantum chromodynamics (QCD) by matching the CSB effect in nuclear matter. The resulting CSB interaction is applied to…

Nuclear Theory · Physics 2024-01-26 Hiroyuki Sagawa , Tomoya Naito , Xavier Roca-Maza , Tetsuo Hatsuda

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

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 quark-meson coupling model which we have developed previously is extended to incorporate the $\delta$ meson. It is then used to study the Nolen-Schiffer anomaly and isospin symmetry breaking in nuclear matter. We find that, in…

Nuclear Theory · Physics 2010-02-17 K. Saito , A. W. Thomas

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

The basic facts of charge symmetry breaking (CSB) phenomena are reviewed. The relevance of CSB to parity-violating electron-proton scattering experiments that seek to extract strange elastic form factors is discussed. Experimentalists have…

Nuclear Theory · Physics 2014-11-03 Gerald A. Miller

The properties of $T=1/2$ mirror nuclei in the $fp$ shell have been studied with a microscopic residual interaction. The isospin-nonconserving interaction is derived from a high-precision charge-dependent Bonn \textit{NN} potential using…

Nuclear Theory · Physics 2009-09-24 C. Qi , F. R. Xu

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…

I review the effects of charge symmetry breaking CSB on electromagnetic form factors and how that influences extraction of information regarding nucleon strangeness content and the weak mixing angle. It seems that CSB effects are very…

Nuclear Theory · Physics 2015-06-17 Gerald A. Miller

We compute isospin-violating meson-nucleon coupling constants and their consequent charge-symmetry-breaking nucleon-nucleon potentials. The couplings result from evaluating matrix elements of quark currents between nucleon states in a…

Nuclear Theory · Physics 2008-11-26 S. Gardner , C. J. Horowitz , J. Piekarewicz

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

Chiral effective field theory predicts a charge symmetry violating (CSB) amplitude for pion-nucleon scattering. This mechanism provides a very large contribution also to the CSB forward-backward asymmetry in the angular distribution of the…

Nuclear Theory · Physics 2017-08-23 J. A. Niskanen

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
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