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Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($\Delta R_{ch}$) and slope of nuclear symmetry energy (L) are…

Nuclear Theory · Physics 2024-01-30 Sakshi Gautam , Anagh Venneti , Sarmistha Banik , Bijay Agrawal

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 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

This work is an update of the 2000 publication of magnetic-rotational bands by Amita et al. [1], followed by an unpublished update of 2006 [2], and reviews detailed experimental data extracted from original publications for 228…

Nuclear Theory · Physics 2025-06-03 Sushil Kumar , Sukhjeet Singh , Balraj Singh , Amita , Ashok Kumar Jain

A gross estimate of the neutron skin [0.80(5)$(N-Z)/A$ fm] is extracted from experimental proton radii, represented by a four parameter fit, and observed mirror displacement energies (CDE). The calculation of the latter relies on an…

Nuclear Theory · Physics 2009-11-07 J. Duflo , A. P. Zuker

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

We compute the binding energies, radii, and densities for selected medium-mass nuclei within coupled-cluster theory and employ the "bare" chiral nucleon-nucleon interaction at order N3LO. We find rather well-converged results in model…

Nuclear Theory · Physics 2008-11-26 G. Hagen , T. Papenbrock , D. J. Dean , M. Hjorth-Jensen

In this study, we developed and tested two different isospin symmetry-breaking (ISB) versions of the microscopic DJ16A interaction. Starting with the isospin symmetric DJ16A interaction, we introduced two different Coulomb interactions-…

Nuclear Theory · Physics 2025-01-15 Chandan Sarma , Praveen C. Srivastava , Toshio Suzuki , Noritaka Shimizu

Using the charge density from the two-parameter Fermi model, a robust and nontrival correlation between binding energis and charge radii of mirror nuclei is newly proposed. This correlation enables simple yet reliable predictions of the…

Nuclear Theory · Physics 2024-11-26 Y. Lei , N. A. Alam , Z. Z. Qin , M. Bao , K. Y. Zhang , C. Ma

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

Shape coexistence is an ubiquitous phenomenon in the neutron-rich nuclei belonging to (or sitting at the shores of) the $N=20$ Island of Inversion (IoI). Exact isospin symmetry predicts the same behaviour for their mirrors and the existence…

Nuclear Theory · Physics 2018-09-14 J. J. Valiente-Dobón , A. Poves , A. Gadea , B. Fernández-Domínguez

The energy spectra of spin-1/2 electrons under two-dimensional magnetic field modulations are calculated beyond the one-band approximation. Our formulation is generally applicable to a modulation field with a rectangular lattice symmetry.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ming-Che Chang , Min-Fong Yang

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

Beta decays of mirror nuclei differ in Q-value, but will otherwise proceed with transitions of similar strength. The current status is reviewed: Fermi transitions are all very similar, whereas Gamow-Teller transitions can differ in strength…

Nuclear Experiment · Physics 2024-06-28 K. Riisager

The energy spectrum of a system of $N_a$ atoms of $n$ levels interacting with a one-mode electromagnetic field is studied in the dipole and rotating wave approximations. We find that, under the resonant condition, it exhibits a mirror…

Quantum Physics · Physics 2014-03-18 S. Cordero , O. Castaños , R. López--Peña , E. Nahmad--Achar

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 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

A correlation between the charge radii difference of mirror partner nuclei $\Delta{R_{\mathrm{ch}}}$ and the slope parameter $L$ of symmetry energy has been built to ascertain the equation of state of isospin asymmetric nuclear matter. In…

Nuclear Theory · Physics 2024-09-04 Xiao-Rong Ma , Shuai Sun , Rong An , Li-Gang Cao

Mirror energy differences (MED) and triplet energy differences (TED) in the T=1 analogue states are important probes of isospin-symmetry breaking. Inspired by the recent spectroscopic data of 66Se, we investigate these quantities for…

Nuclear Theory · Physics 2015-06-19 K. Kaneko , Y. Sun , T. Mizusaki , S. Tazaki

High-resolution in-beam $\gamma$-ray spectroscopy was used to study excited states of the neutron-deficient nucleus $^{32}$Ar populated in fast-beam induced four- and six-nucleon removal reactions from $^{36,38}$Ca. One new $\gamma$-ray…