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Related papers: Mirror and triplet energy differences in $sd$-shel…

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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

We extend the nuclear Density Functional Theory (DFT) by including proton-neutron mixing and contact isospin-symmetry-breaking (ISB) terms up to next-to-leading order (NLO). Within this formalism, we perform systematic study of the nuclear…

Nuclear Theory · Physics 2019-02-05 P. Baczyk , W. Satula , J. Dobaczewski , M. Konieczka

We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $ \omega $-$ \rho^0 $ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form…

Nuclear Theory · Physics 2025-10-21 Yusuke Tanimura , Tomoya Naito , Hiroyuki Sagawa , Myung-Ki Cheoun

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

Elastic nucleon scattering from the 3He and 3H mirror nuclei is examined as a test of charge symmetry violation. The differential cross-sections are calculated at 500 MeV using a microsopic, momentum-space optical potential including the…

Nuclear Theory · Physics 2008-11-26 Tim Mefford , Rubin H. Landau

The theoretical evaluation of major nuclear structure effects on the asymmetry of allowed Gamow-Teller beta-decay rates in light mirror nuclei is presented. The calculations are performed within the shell model, using empirical…

Nuclear Theory · Physics 2009-11-07 N. A. Smirnova , C. Volpe

We investigate isospin-symmetry breaking effects in the sd-shell region with large-scale shell-model calculations, aiming to understand the recent anomalies observed in superallowed Fermi beta-decay. We begin with calculations of Coulomb…

Nuclear Theory · Physics 2017-10-11 K. Kaneko , Y. Sun , T. Mizusaki , S. Tazaki , S. K. Ghorui

Although SU(2) isospin symmetry is generally assumed in the basic theory of the strong interaction, a number of significant violations have been observed in scattering and bound states of nucleons. Many of these violations can be attributed…

Nuclear Theory · Physics 2017-09-06 W. R. Gibbs , Jean-Pierre Dedonder

We investigate isospin-breaking effects in double-charm molecular pentaquarks with the $D^{(*)}\Sigma_c^{(*)}$ configuration, using the one-boson-exchange potential framework. In these systems, the isospin-breaking effects arise from two…

High Energy Physics - Phenomenology · Physics 2026-03-24 Fei-Yu Chen , Ning Li , Wei Chen

The $\Lambda$ separation energies in the mirror hypernuclei ${_{\Lambda}^4}{\rm H}-{_{\Lambda}^4}{\rm He}$ exhibit large charge symmetry breaking (CSB). Analyzing this CSB within pionless effective field theory while using partially…

Nuclear Theory · Physics 2023-03-21 M. Schäfer , N. Barnea , A. Gal

The energy spacing between the ground-state spin doublet of $^4_\Lambda $He(1$^+$,0$^+$) was determined to be $1406 \pm 2 \pm 2$ keV, by measuring $\gamma$ rays for the $1^+ \to 0^+$ transition with a high efficiency germanium detector…

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 present calculations for the $c$-coefficients of the isobaric mass multiplet equation for nuclei from $A=42$ to $A=54$ based on input from three realistic nucleon-nucleon interactions. We demonstrate that there is a clear dependence on…

Nuclear Theory · Physics 2017-09-06 W. E. Ormand , B. A. Brown , M. Hjorth Jensen

The isospin-symmetry breaking correction, denoted as $\delta_C$, is introduced for the first time within the shell-model framework to the nuclear matrix element of Gamow-Teller transitions. $\delta_C$ is separated into two components: the…

Nuclear Theory · Physics 2023-12-14 Latsamy Xayavong , Yeunhwan Lim

Background: Electric-quadrupole ($E2$) strengths relate to the underlying quadrupole deformation of a nucleus and present a challenge for many nuclear theories. Mirror nuclei in the vicinity of the line of $N=Z$ represent a convenient…

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

We perform a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and…

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

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, are calculated using the quark-meson coupling (QMC) model.…

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

The influence of nuclear isospin mixing on parity-violating elastic electron scattering is studied for the even-even, N=Z nuclei 12C, 24Mg, 28Si, and 32S. Their ground-state wave functions have been obtained using a self-consistent…

Nuclear Theory · Physics 2009-08-20 O. Moreno , P. Sarriguren , E. Moya de Guerra , J. M. Udias , T. W. Donnelly , I. Sick