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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

The mirror energy difference (MED) of the mirror state, especially for states bearing the Thomas-Erhman shift, serves as a sensitive probe of isospin symmetry breaking. We employ the Gamow shell model, which includes the inter-nucleon…

Nuclear Theory · Physics 2024-07-02 J. G. Li , K. H. Li , N. Michel , H. H. Li , W. Zuo

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

Coulomb displacement energies of $T=1/2$ mirror nuclei have been studied via a series of high-precision $Q_\mathrm{EC}$-value measurements with the double Penning trap mass spectrometer JYFLTRAP. Most recently, the $Q_\mathrm{EC}$ values of…

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

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

Recent experimental data have revealed large mirror energy differences (MED) between high-spin states in the mirror nuclei 67Se and 67As, the heaviest pair where MED have been determined so far. The MED are generally attributed to the…

Nuclear Theory · Physics 2010-12-24 K. Kaneko , S. Tazaki , T. Mizusaki , Y. Sun , M. Hasegawa , G. de Angelis

The macroscopic-microscopic mass formula is further improved by considering mirror nuclei constraint. The rms deviation with respect to 2149 measured nuclear masses is reduced to 0.441 MeV. The shell corrections, the deformations of nuclei,…

Nuclear Theory · Physics 2011-03-22 Ning Wang , Zuoying Liang , Min Liu , Xizhen Wu

Binding energies and other global properties of nuclei in the middle of the $pf$ shell, such as M1, E2 and Gamow-Teller sum rules, have been obtained using a new Shell Model code (NATHAN) written in quasi-spin formalism and using a…

Nuclear Theory · Physics 2009-10-31 E. Caurier , G. Martinez-Pinedo , F. Nowacki , A. Poves , J. Retamosa , A. P. Zuker

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

We have investigated energy levels mirror nuclei of the 17O and 17F in relativistic and non-relativistic shell model. The nuclei 17O and 17F can be modeled as a doubly-magic 17O=n+(N=Z=8) and 17F=p+(N=Z=8), with one additional nucleon…

Nuclear Theory · Physics 2017-02-09 M. Mousavi , M. R. Shojaei

The first spectroscopy of excited states in 52Ni (Tz=2) and 51Co (Tz=-3/2) has been obtained using the highly selective two-neutron knockout reaction. Mirror energy differences between isobaric analogue states in these nuclei and their…

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

Binding energy differences of mirror nuclei for A=15, 17, 27, 29, 31, 33, 39 and 41 are calculated in the framework of relativistic deformed mean-field theory. The spatial components of the vector meson fields and the photon are fully taken…

Nuclear Theory · Physics 2009-10-30 W. Koepf , G. Krein , L. A. Barreiro

Structure of two sets of mirror nuclei: 47V - 47Cr and 49Cr - 49Mn, as well as 49V and 51Mn, is studied using the projected shell model. Their yrast spectra are described as an interplay between the angular momentum projected states around…

Nuclear Theory · Physics 2009-11-06 Victor Velazquez , Jorge G. Hirsch , Yang Sun

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

For mirror nuclei with masses A=42-95, the effects of isospin nonconserving nuclear forces are studied with nuclear shell model using the Coulomb displacement energy and triplet displacement energy as probes. It is shown that the…

Nuclear Theory · Physics 2015-06-15 K. Kaneko , Y. Sun , T. Mizusaki , S. Tazaki

Radioactive beams of $^{14}$O and $^{15}$O were used to populate the resonant states 1/2$^+$, 5/2$^+$ and $0^-,1^-,2^-$ in the unbound $^{15}$F and $^{16}$F nuclei respectively by means of proton elastic scattering reactions in inverse…

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

Studies of the $\gamma$-ray strength functions can reveal useful information concerning underlying nuclear structure. Accumulated experimental data on the strength functions show an enhancement in the low $\gamma$ energy region. We have…

Nuclear Theory · Physics 2017-02-27 S. Karampagia , B. A. Brown , V. Zelevinsky
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