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Related papers: Irregularities in nuclear radii at magic numbers

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Isotope dependences of charge radii, i.e., isotope shifts, calculated by the Skyrme Hartree-Fock, the relativistic mean-field, and the relativistic Hartree-Fock calculations are compared against the experimental data of magic and semimagic…

Nuclear Theory · Physics 2023-05-22 Tomoya Naito , Tomohiro Oishi , Hiroyuki Sagawa , Zhiheng Wang

Magic numbers are predicted in wide range of the nuclear chart by the self-consistent mean-field calculations with the M3Y-P6 and P7 semi-realistic $NN$ interactions. The magic numbers are identified by vanishing pair correlations in the…

Nuclear Theory · Physics 2014-05-07 H. Nakada , K. Sugiura

Charge radii are investigated along the Tin isotopic chain via ab initio Bogoliubov coupled cluster calculations at the singles and doubles level. In addition to the reproduction of absolute radii, the parabolic behavior of isotopic shifts…

Nuclear Theory · Physics 2026-05-29 Pepijn Demol , Urban Vernik , Thomas Duguet , Alexander Tichai

It was pointed out [Phys. Rev. C \textbf{91}, 021302(R)] that the isotope shifts of the Pb nuclei, the kink at $N=126$ in particular, can be well described by the Hartree-Fock-Bogolyubov calculations if a density-dependent LS interaction…

Nuclear Theory · Physics 2015-10-12 H. Nakada

We present a model which describes the properties of odd-even nuclei with one nucleon more, or less, with respect to the magic number. In addition to the effects related to the unpaired nucleon, we consider those produced by the excitation…

Nuclear Theory · Physics 2015-09-16 G. Co' , V. De Donno , M. Anguiano , R. N. Bernard , A. M. Lallena

Systematic trends in nuclear charge radii are of great interest due to universal shell effects and odd-even staggering (OES). The modified root mean square (rms) charge radius formula, which phenomenologically accounts for the formation of…

Nuclear Theory · Physics 2022-05-10 Rong An , Xiang Jiang , Li-Gang Cao , Feng-Shou Zhang

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

The extended kernel ridge regression (EKRR) method with odd-even effects was adopted to improve the description of the nuclear charge radius using five commonly used nuclear models. These are: (i) the isospin dependent $A^{1/3}$ formula,…

Nuclear Theory · Physics 2024-04-22 Lu Tang , Zhen-Hua Zhang

A feed-forward neural network model is trained to calculate the nuclear charge radii. The model trained with input data set of proton and neutron number $Z,N$, the electric quadrupole transition strength $B(E2)$ from the first excited 2$^+$…

Nuclear Theory · Physics 2020-11-25 Di Wu , C. L. Bai , H. Sagawa , H. Q. Zhang

The magic proton and neutron numbers are searched in the superheavy region with proton number $Z$=100 - 140 and neutron number $N$= ($Z$+30) - (2$Z$+32) by the relativistic continuum Hartree-Bogoliubov (RCHB) theory with interactions NL1,…

Nuclear Theory · Physics 2009-11-10 W. Zhang , J. Meng , S. Q. Zhang , L. S. Geng , H. Toki

We have explored the occurrence of the spherical shell closures for superheavy nuclei in the framework of the relativistic Hartree-Fock-Bogoliubov (RHFB) theory. Shell effects are characterized in terms of two-nucleon gaps $\delta_{2n(p)}$.…

Nuclear Theory · Physics 2015-06-15 Jia Jie Li , Wen Hui Long , Jerome Margueron , Nguyen Van Giai

Nuclear charge radii are sensitive probes of different aspects of the nucleon-nucleon interaction and the bulk properties of nuclear matter; thus, they provide a stringent test and challenge for nuclear theory. The calcium region has been…

The main purpose of the present manuscript is to review the structural evolution along the isotonic and isotopic chains around the "traditional" magic numbers 8; 20; 28; 50; 82 and 126. The exotic regions of the chart of nuclides have been…

Nuclear Experiment · Physics 2008-12-18 O. Sorlin , M. -G. Porquet

Ab initio calculations of bulk nuclear properties (ground-state energies, root mean square charge radii and charge density distributions) are presented for seven complete isotopic chains around calcium, from argon to chromium. Calculations…

Nuclear Theory · Physics 2021-07-06 Vittorio Somà , Carlo Barbieri , Thomas Duguet , Petr Navrátil

Charge radii are sensitive indicators to identify the nuclear structure phenomena throughout the whole nuclide chart. In particular, the shrunken trend of changes of charge radii along a long isotopic chain is intimately associated with the…

Nuclear Theory · Physics 2025-06-17 Yu-Ting Rong , Ping-Mo Liu , Dan Yang , Rong An

We examined the shape staggering of relative charge radii in $^{180 - 186}$Hg isotopes, which was first measured in 1977 and recently confirmed using advanced spectroscopy techniques. To understand the nuclear structure underlying this…

Nuclear Theory · Physics 2024-04-01 Myeong-Hwan Mun , Seonghyun Kim , W. Y. So , Soonchul Choi , Eunja Ha , Myung-Ki Cheoun

The nuclear shell model is a benchmark for the description of the structure of atomic nuclei. The magic numbers associated with closed shells have long been assumed to be valid across the whole nuclear chart. Investigations in recent years…

Popular Physics · Physics 2010-06-15 R. Kruecken

Encouraged with the evidence for Z = 6 magic number in neutron-rich carbon isotopes, we have performed relativistic mean-field plus BCS calculations to investigate ground state properties of entire chains of isotopes(isotones) with Z(N) = 6…

Nuclear Theory · Physics 2018-12-26 M. Kumawat , G. Saxena , M. Kaushik , R. Sharma , S. K. Jain

The magic numbers in exotic nuclei are discussed, and their novel origin is shown to be the spin-isospin dependent part of the nucleon-nucleon interaction in nuclei. The importance and robustness of this mechanism is shown in terms of meson…

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