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The influence of triaxial deformation $\gamma$ on the purely collective form of wobbling motion in even-even nuclei are discussed based on the triaxial rotor model. It is found that the harmonic approximation is realized well when…

Nuclear Theory · Physics 2021-05-26 Bin Qi , Hui Zhang , Shou Yu Wang , Qi Bo Chen

We identify here possible occurrence of large deformations in the neutron- and proton-rich regions of the nuclear chart from extensive predictions of the values of the reduced quadrupole transition probability B-E2 for the transition from…

Nuclear Theory · Physics 2016-01-20 R. C. Nayak , S. Pattnaik

A systematic analysis of the spherical-to-deformed shape phase transition in even-even rare-earth nuclei from $_{58}$Ce to $_{74}$W is carried out in the framework of the interacting boson model. These results are then used to calculate…

Nuclear Theory · Physics 2008-12-18 S. Zerguine , P. Van Isacker , A. Bouldjedri , S. Heinze

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

In heavy atoms and ions, nuclear structure effects are significantly enhanced due to the overlap of the electron wave functions with the nucleus. This overlap rapidly increases with the nuclear charge $Z$. We study the energy level shifts…

Atomic Physics · Physics 2021-03-17 V. V. Flambaum , I. B. Samsonov , H. B. Tran Tan , A. V. Viatkina

Converged results for E2 observables are notoriously challenging to obtain in ab initio no-core configuration interaction (NCCI) approaches. Matrix elements of the E2 operator are sensitive to the large-distance tails of the nuclear wave…

Nuclear Theory · Physics 2025-11-04 Mark A. Caprio , Patrick J. Fasano , Pieter Maris

Electric quadrupole (E2) matrix elements provide a measure of nuclear deformation and related collective structure. Ground-state quadrupole moments in particular are known to high precision in many p-shell nuclei. While the experimental…

Nuclear Theory · Physics 2021-10-04 M. A. Caprio , P. J. Fasano , P. Maris , A. E. McCoy

Background: Precise measurements of atomic transitions affected by electron-nucleus hyperfine interactions offer sensitivity to explore basic properties of the atomic nucleus and study fundamental symmetries, including the search for new…

Nuclear Theory · Physics 2023-06-06 Paul-Gerhard Reinhard , Witold Nazarewicz

Up to now, all charge radius measurements of the proton and deuteron assumed uniform spheroidal charge distribution. We investigate the nuclear deformation effects on these charge radius measurements by assuming a uniform prolate charge…

High Energy Physics - Phenomenology · Physics 2019-11-05 Yonghui Lin , Bingsong Zou

E2 properties of A=6--10 nuclei, including those of nuclei far from stability, are studied by a $(0+2)\hbar\omega$ shell-model calculation which includes E2 core-polarization effects explicitly. The quadrupole moments and the E2 transition…

Nuclear Theory · Physics 2009-10-22 Hitoshi Nakada , Takaharu Otsuka

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach

In the framework of the interacting boson model, relations are derived between nuclear charge radii, electric monopole transition rates, and summed magnetic dipole transition in even-even nuclei. The proposed correlations are tested in the…

Nuclear Theory · Physics 2014-08-29 P. Van Isacker

Nuclei with an octupole deformation have a non-zero electric octupole moment, electric dipole moment (EDM), Schiff moment and magnetic quadrupole moment (MQM) in the intrinsic frame which rotates with the nucleus. In a state with definite…

High Energy Physics - Phenomenology · Physics 2022-06-29 V. V. Flambaum , A. J. Mansour

A series expansion of the interaction between a nucleus and its surrounding electron distribution provides terms that are well-known in the study of hyperfine interactions: the familiar quadrupole interaction and the less familiar…

Atomic and Molecular Clusters · Physics 2015-05-14 Katrin Koch , Klaus Koepernik , Dimitri Van Neck , Helge Rosner , Stefaan Cottenier

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

Effect of deformation on half-life of two-proton (2p) radioactivity is investigated across the periodic chart for nuclei with Z$<$82. 2p-decay half-lives are estimated by employing our newly proposed semi-empirical formula wherein the…

Nuclear Theory · Physics 2022-12-07 G. Saxena , Mamta Aggarwal , D. Singh , A. Jain , P. K. Sharma , H. L. Yadav

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from $_{58}$Ce to $_{74}$W) is carried out in the framework of the interacting boson model (IBM), leading to an accurate description of the…

Nuclear Theory · Physics 2012-04-06 S. Zerguine , P. Van Isacker , A. Bouldjedri

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

Charge radii measured with high accuracy provide a stringent benchmark for characterizing nuclear structure phenomena. In this work, the systematic evolution of charge radii for nuclei with $Z=19$-$29$ is investigated through relativistic…

Nuclear Theory · Physics 2024-06-05 Rong An , Xiang Jiang , Na Tang , Li-Gang Cao , Feng-Shou Zhang

Pronounced changes of nuclear charge radii provide a stringent benchmark on the theoretical models and play a vital role in recognizing various nuclear phenomena. In this work, the systematic evolutions of nuclear charge radii along even…

Nuclear Theory · Physics 2023-03-28 Rong An , Xiao-Xu Dong , Li-Gang Cao , Feng-Shou Zhang