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A dynamical investigation of the nucleon-nucleon (NN) interaction by using the resonating group method (RGM) in a chiral SU(3) quark model has been revisited. The considered quark-quark interaction includes, besides the one-gluon exchange…

Nuclear Theory · Physics 2018-10-22 F. Huang , W. L. Wang

The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible…

Nuclear Theory · Physics 2023-09-29 Andriana Martinou , S. Sarantopoulou , K. E. Karakatsanis , Dennis Bonatsos

The conditions of optimum orientations (lowest barrier and largest interaction radius) for deformed colliding nuclei are introduced in "cold" fusion of superheavy nuclei. Also, the role of (octupole and) hexadecupole deformations is…

Nuclear Theory · Physics 2007-05-23 Raj K. Gupta , M. Balasubramaniam , Rajesh Kumar , Narinder Singh

The nuclear magnetic octupole moment is revisited as a potentially useful observable for nuclear structure studies. The magnetic octupole moment, $\Omega$, is examined in terms of the nuclear collective model including weak and strong…

Nuclear Theory · Physics 2024-06-25 Stavros Bofos , Theo J. Mertzimekis

The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf

d- and f-shells support a large number of local degrees of freedom: dipoles, quadrupoles, octupoles, hexadecapoles, etc. Usually, the ordering of any multipole component leaves the system sufficiently symmetrical to allow a second symmetry…

Strongly Correlated Electrons · Physics 2009-11-11 Patrik Fazekas , Annamaria Kiss , Katalin Radnoczi

Rotational bands are commonly used in the analysis of the spectra of atomic nuclei. The early version of the interacting boson model of Arima and Iachello has been foundational to the description of rotations in nuclei. The model is based…

Nuclear Theory · Physics 2021-03-22 Victor Miguel Banda Guzman , Ruben Flores-Mendieta , Johann Hernandez

We present an expression for the operator of the electric quadrupole hyperfine interaction which takes into account finite nuclear size. We compare the results obtained with the use of this operator with those obtained in the standard…

Atomic Physics · Physics 2023-05-03 V. A. Dzuba , V. V. Flambaum

Interference terms between monopole and quadrupole Coulomb form factors that contribute to the cross-section of electron scattering from polarized nuclei are studied within the plane wave Born approximation. By experimentally exploring the…

Nuclear Theory · Physics 2024-02-14 Pedro Sarriguren

The effect of coupling between pairing and quadrupole triaxial shape vibrations on the low-energy collective states of $\gamma$-soft nuclei is investigated using a model based on the framework of nuclear energy density functionals (EDFs).…

Nuclear Theory · Physics 2021-08-23 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

The isospin-invariant interacting boson model IBM-3 is analyzed in situations where $SU_T(3)$ charge symmetry [or, equivalently, $U_L(6)$ $sd$ symmetry] is conserved. Analytic expressions for energies, electromagnetic transitions,…

Nuclear Theory · Physics 2009-10-31 J. E. Garcia--Ramos , P. Van Isacker

Most nuclear structure calculations, even for full configuration interaction approaches, are performed within truncated model spaces. These require consistent transformations of the Hamiltonian and operators to account for the missing…

Nuclear Theory · Physics 2019-08-21 Francesco Raimondi , Carlo Barbieri

We show that the collectivity of the particle-hole wave function of low-lying octupole 3^- states in doubly magic nuclei is mainly due to the neutron-proton interaction. Both the enhanced reduced transition probability to the ground state,…

Nuclear Theory · Physics 2022-03-28 P. Van Isacker , M. Rejmund

Strong octupole correlations have been observed in the low-lying states of atomic nuclei across various mass regions. In this review, we provide an overview of Beyond Mean-Field (BMF) studies of nuclear octupole collective motions with…

Nuclear Theory · Physics 2023-11-28 E. F. Zhou , J. M. Yao

Semi-leptonic electroweak interactions in nuclei - such as \beta decay, \mu capture, charged- and neutral-current neutrino reactions, and electron scattering - are described by a set of multipole operators carrying definite parity and…

Nuclear Theory · Physics 2009-11-13 Wick Haxton , Cecilia Lunardini

The influence of oscillating quadrupole fields on atomic energy levels is examined theoretically and general expressions for the quadrupole matrix elements are given. The results are relevant to any ion-based clock in which one of the clock…

Quantum Physics · Physics 2019-03-06 Kyle J. Arnold , R. Kaewuan , T. R. Tan , M. D. Barrett

Using a new approximate analytic parameter-free proxy-SU(3) scheme, we make predictions of shape observables for actinides and superheavy elements, namely beta and gamma deformation variables, and compare these with predictions by…

We use a perturbative semiclassical trace formula to calculate the three lowest-order multipole (quadrupole $\eps_2$, octupole $\eps_3$, and hexadecapole $\eps_4$) deformations of simple metal clusters with $90 \le N \le 550$ atoms in their…

Atomic and Molecular Clusters · Physics 2009-11-07 V. V. Pashkevich , P. Meier , M. Brack , A. V. Unzhakova

The refined values of the magnetic octupole moments of $^{113}$In and $^{115}$In are obtained by combining high-precision atomic calculations with corresponding hyperfine structure spectrum. We performed an \textit{ab initio }calculations…

Atomic Physics · Physics 2024-01-25 Fei-Chen Li , Yong-Bo Tang

The quantization of the kinetic energy of a deformed nucleus in curvilinear coordinates in the case of octupole oscillations of its surface firstly has been carried out. The obtained form of the Hamiltonian differs from the previously…

Nuclear Theory · Physics 2023-07-20 M. S. Nadirbekov , O. A. Bozarov , N. Minkov