Magnetic moments of odd-<i>A</i>aluminum isotopes in covariant density functional theory

Li, Jian; Sun, Wu-Ji

doi:10.1088/1572-9494/ab7708

Cited by 3 publications

(1 citation statement)

References 65 publications

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“…Eventually, it was found that the deviation is contributed by the effects of a two-body meson exchange current (MEC, i.e., the exchange of the charged mesons) and configuration mixing (CM, or core polarization, i.e., the correlations beyond the mean field approximation) [7,14,15]. With these two corrections, the magnetic moments of odd-even nuclei around doubly magic nuclei can be reproduced well in both non-relativistic and relativistic frameworks [7,[16][17][18][19][20][21][22][23][24]. For odd A nuclei far from the magic nuclei, the effective spin and orbital g factor are usually adopted in different promising theoretical models [25], and are even applied for certain specific nuclei.…”

Section: Introductionmentioning

confidence: 99%

Magnetic moment predictions of odd-A nuclei with the Bayesian neural network approach *

Yuan¹,

Tian²,

Li³

et al. 2021

Chinese Phys. C

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The Bayesian neural network approach has been employed to improve the nuclear magnetic moment predictions of odd-A nuclei. The Schmidt magnetic moment obtained from the extreme single-particle shell model makes large root-mean-square (rms) deviations from data, i.e., 0.949 and 1.272 for odd-neutron nuclei and odd-proton nuclei, respectively. By including the dependence of the nuclear spin and Schmidt magnetic moment, the machine-learning approach precisely describes the magnetic moments of odd-A nuclei with rms deviations of 0.036 for odd-neutron nuclei and 0.061 for odd-proton nuclei. Furthermore, the evolution of magnetic moments along isotopic chains, including the staggering and sudden jump trend, which are difficult to describe using nuclear models, have been well reproduced by the Bayesian neural network (BNN) approach. The magnetic moments of doubly closed-shell nuclei, for example, isoscalar and isovector magnetic moments, have been well studied and compared with the corresponding non-relativistic and relativistic calculations.

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Section: Introductionmentioning

confidence: 99%

Magnetic moment predictions of odd-A nuclei with the Bayesian neural network approach *

Yuan¹,

Tian²,

Li³

et al. 2021

Chinese Phys. C

Self Cite

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Low-lying state investigations of odd-A Mn isotopes around N = 28

Yang

et al. 2023

Commun. Theor. Phys.

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Based on the systematic studies for low-lying states of the odd-$A$ $\rm {}^{49-57}Mn$ isotopes, the ground-states inversion and the rotational properties of ground-state-based sequence are revealed and discussed. The energy levels of low-lying states and electromagnetic moments in odd-$A$ $^{49-57}$Mn isotopes have been well reproduced in shell-model calculations, and the above phenomena could be understood with obviously different occupation numbers in proton orbitals such as $\pi f_{7/2}$ and $\pi p_{3/2}$, which changes similarly with the obtained quadrupole deformation in covariant density functional theory~(CDFT). After considering the coupling of collective rotation and intrinsic single-particle motion, the available experimental magnetic moments in $\rm ^{53}Mn$ and adjacent nuclei can be well explained with CDFT. The present calculations suggest that the $5/2^-$ and $7/2^-$ states in $^{53}$Mn are formed by $\pi5/2^-[312]$ and $\pi7/2^-[303]$ respectively. Together with behavior of levels, this provides proofs for the level sequences of low-lying states in $\rm ^{53}Mn$ distinct from the $K^\pi=5/2^-$ rotational band in $^{49}$Cr and other odd-$A$ Mn isotopes.

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Extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy

Xie,

Li,

Liang

2024

Phys. Rev. C

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Magnetic moments of odd-Aaluminum isotopes in covariant density functional theory

Cited by 3 publications

References 65 publications

Magnetic moment predictions of odd-A nuclei with the Bayesian neural network approach *

Magnetic moment predictions of odd-A nuclei with the Bayesian neural network approach *

Low-lying state investigations of odd-A Mn isotopes around N = 28

Extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy

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