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Related papers: Isospin symmetry breaking in the charge radius dif…

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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

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

We present systematic study of isospin impurities ($\alpha_{\rm ISB}$) to the wave functions of $T=1/2$, $11\leq A \leq 47$ mirror nuclei and the isospin-symmetry-breaking (ISB) corrections ($\delta_{\rm ISB}^{\rm V}$) to their ground state…

Nuclear Theory · Physics 2022-06-24 M. Konieczka , P. Bączyk , W. Satuła

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

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

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 study the charge symmetry breaking (CSB) effect in mirror hypernuclei using the deformed Skyrme Hartree-Fock (DSHF)+ Bardeen-Cooper-Schrieffer (BCS) model together with the CSB term and pairing interaction. Our model provides good…

Nuclear Theory · Physics 2025-10-24 Shi-jing Zha , Suo Qiu , H. Sagawa , Xian-Rong Zhou

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

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

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

Background: Small asymmetry between neutrons and protons, caused by the differences in masses and charges of the up and down constituent quarks leads to the isospin symmetry breaking. The isospin non-conservation affects broad range of…

Nuclear Theory · Physics 2021-06-02 P. Baczyk , W. Satula

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

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

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

The effects of isospin-symmetry breaking on the observables for parity-violating electron scattering are investigated within the framework of the nuclear shell model for 12C, 16O, and 28Si. Contributions due to mixing with low-lying states…

Nuclear Theory · Physics 2009-10-31 W. E. Ormand

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

We study the implications of isospin symmetry in nuclear systems on two-body distributions and derive relations between different densities or momentum distributions of a given nucleus or of different nuclei in the same isospin multiplet. A…

Nuclear Theory · Physics 2022-12-08 R. Weiss , A. Lovato , R. B. Wiringa

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

A formalism for the study of charge symmetry breaking (CSB) effects is discussed and used to analyze the effects of charge symmetry breaking on neutron beta decay. The effect of including CSB reduces the beta decay matrix element by an…

Nuclear Theory · Physics 2022-12-21 Jacob W. Crawford , Gerald A. Miller