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

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The conventional Skyrme interaction is generalized by adding zero-range charge-symmetry-breaking and charge-independence-breaking terms, and the corresponding energy density functional is derived. It is shown that the extended model…

Nuclear Theory · Physics 2016-01-18 Pawel Baczyk , Jacek Dobaczewski , Maciej Konieczka , Wojciech Satula

In this work, Na isotopes with mass varying from $A=$ 20 to 31 have been studied using DJ16A, JISP16 and N3LO microscopic effective interactions in the $sd$-shell. These effective interactions are derived for $sd$-shell using no-core shell…

Nuclear Theory · Physics 2023-02-13 Subhrajit Sahoo , Praveen C. Srivastava , Toshio Suzuki

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

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 utilize the experimentally known difference of the $\Lambda$ separation energies of the mirror hypernuclei ${^4_\Lambda \rm He}$ and ${^4_\Lambda \rm H}$ to constrain the $\Lambda$-neutron interaction. We include the leading…

Nuclear Theory · Physics 2021-11-03 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

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 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

Experimental mirror energy differences (MED) for nuclei lying in the middle and the second part of $1f_{7/2}$ shell are compared with shell model calculations in the $1f_{7/2}$ and in the full $pf$ configuration spaces, as well as with CSM…

Nuclear Theory · Physics 2009-07-22 F. Brandolini

We investigate the ground-state properties of four mirror hypernuclei pairs--$^{10}_\Lambda$Be-$^{10}_\Lambda$B, $^{12}_\Lambda$B-$^{12}_\Lambda$C, $^{16}_\Lambda$N-$^{16}_\Lambda$O, and $^{40}_\Lambda$K-$^{40}_\Lambda$Ca--within the…

Nuclear Theory · Physics 2025-06-17 Yu-Ting Rong , Dan Yang , Cheng-Jun Xia , Ting-Ting Sun

Candidates for three excited states in the 66^Se have been identified using the recoil-{\beta} tagging method together with a veto detector for charged-particle evaporation channels. These results allow a comparison of mirror and triplet…

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

We explore isospin mixing beyond that due to the Coulomb interaction in the framework of an exactly solvable microscopic sp(4) algebraic approach. Specifically, we focus on the isospin non-conserving part of the pure nuclear pairing…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

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…

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

The anomaly in Coulomb energy differences (CED) between the isospin T=1 states in the odd-odd N=Z nucleus 70Br and the analogue states in its even-even partner 70Se has remained a puzzle. This is a direct manifestation of isospin-symmetry…

Nuclear Theory · Physics 2015-06-05 K. Kaneko , T. Mizusaki , Y. Sun , S. Tazaki , G. de Angelis

Isospin is an approximate symmetry in atomic nuclei, arising from the rather similar properties of protons and neutrons. Perhaps the clearest manifestation of isospin within nuclei is in the near-identical structure of excited states in…

Nuclear Experiment · Physics 2020-10-07 J. Henderson , S. R. Stroberg

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

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

Isospin-symmetry-violating class II and III contact terms are introduced into the Skyrme energy density functional to account for charge dependence of the strong nuclear interaction. The two new coupling constants are adjusted to available…

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