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Related papers: Periodic Orbits and Shell Structure in Octupole De…

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Properties of octupole vibrations in rapidly rotating nuclei are discussed. Microscopic RPA calculations based on the cranked shell model are performed to investigate the interplay between rotation and vibrations. The ability of this model…

Nuclear Theory · Physics 2007-05-23 Takashi Nakatsukasa

We propose a collective model formalism which describes the strong parity shift observed in low-lying spectra of nuclei with octupole deformations together with the fine rotational band structure developed at higher angular momenta. The…

Nuclear Theory · Physics 2009-11-11 N. Minkov , P. Yotov , S. Drenska , W. Scheid

Conventionally, octupole deformation in nuclei has been attributed to strong $\Delta l=3$ couplings between opposite-parity single-particle orbitals. In this work, we demonstrate that the often-overlooked $\Delta l=1$ mode also plays an…

Nuclear Theory · Physics 2026-04-14 XuDong Wang , Bin Qi , Shouyu Wang , Chen Liu

$\textit{Background}$: Nuclear fusion has been shown to be a perfect probe to study the different nuclear shapes. However, the possibility of testing octupole deformation of a nucleus with this tool has not been fully explored yet. The…

Nuclear Theory · Physics 2015-11-06 Raj Kumar , J. A. Lay , A. Vitturi

In the well-known Nilsson diagrams, depicting the dependence of the nuclear single-particle energy levels on quadrupole deformation, a spin paradox appears {as the deformation sets in, leading from spherical shapes to prolate deformed…

Nuclear Theory · Physics 2021-03-02 Hadi Sobhani , Hassan Hassanabadi , Dennis Bonatsos

We study the shape coexistence in the nucleus $^{28}$Si with the nuclear shell model using numerical diagonalizations complemented with variational calculations based on the projected generator-coordinate method. The theoretical electric…

Quantum effects of plasmonic phenomena have been explored through ab-initio studies, but only for exceedingly small metallic nanostructures, leaving most experimentally relevant structures too large to handle. We propose instead an…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Wei Yan , Martijn Wubs , N. Asger Mortensen

Hyperfine structures of $^{211}$Fr due to the interactions of magnetic dipole ($\mu$), electric quadrupole ($Q$) and magnetic octupole ($\Omega$) moments with the electrons are investigated using the relativistic coupled-cluster (RCC)…

Nuclear Theory · Physics 2015-07-07 B. K. Sahoo

We derive a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 A. G. Magner , K. Arita , S. N. Fedotkin , K. Matsuyanagi

A systematic search for axial octupole deformation in the actinides and superheavy nuclei with proton numbers $Z=88-126$ and neutron numbers from two-proton drip line up to $N=210$ has been performed in covariant density functional theory…

Nuclear Theory · Physics 2017-10-18 S. E. Agbemava , A. V. Afanasjev

The nonaxial octupole shape in some nuclei with $N = 184$, namely, $^{284}$Fm, $^{286}$No, $^{288}$Rf, and $^{290}$Sg, is investigated using covariant density functional theories. Employing the density-dependent point-coupling covariant…

Nuclear Theory · Physics 2023-11-29 Jie Zhao , Zheng-Gang Wu

Regular and chaotic test particle motion in gravitational fields due to stellar bodies with quadrupolar and octupolar deformation are studied using Poincare surfaces of section. In first instance, we analyze the purely Newtonian case and we…

General Relativity and Quantum Cosmology · Physics 2008-06-27 Javier Ramos-Caro , Framsol Lopez-Suspes , Guillermo A. Gonzalez

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

In this work we make further studies of the quadrupole quadrupole interaction used in shell model calculations.Whereas in a previous work we adjusted the single particle energies so as to obtain the rotatonal spectrum of the Elliott model,…

Nuclear Theory · Physics 2021-04-06 Mingyang Ma , Praveen C Srivastava , Larry Zamick

We examine the time-reversal-violating nuclear ``Schiff moment'' that induces electric dipole moments in atoms. After presenting a self-contained derivation of the form of the Schiff operator, we show that the distribution of Schiff…

Nuclear Theory · Physics 2014-11-18 J. Engel , J. L. Friar , A. C. Hayes

We have presented a complete description of classical dynamics generated by the Hamiltonian of quadrupole nuclear oscillations and identified those peculiarities of quantum dynamics that can be interpreted as quantum manifestations of…

Nuclear Theory · Physics 2007-05-23 V. P. Berezovoj , Yu. L. Bolotin , V. Yu. Gonchar , M. Ya. Granovsky , V. N. Tarasov

Nuclear forces violating parity and time reversal invariance (${\cal P},{\cal T}$-odd) produce ${\cal P},{\cal T}$-odd nuclear moments, for example, the nuclear Schiff moment. In turn, this moment can induce the electric dipole moment in…

Nuclear Theory · Physics 2008-11-26 N. Auerbach , V. F. Dmitriev , V. V. Flambaum , A. Lisetskiy , R. A. Sen'kov , V. G. Zelevinsky

The relative ordering of $J^-$ levels of multiplets resulting from two-body excitations, which include a $J^{\pi}=3^-$ state that can contribute to the octupole phonon, are investigated in a simplistic shell-model approach. To calculate the…

Nuclear Theory · Physics 2025-05-23 M. Scheck , R. Chapman , K. Mashtakov , R. Meeten , P. L. Sassarini , P. Spagnoletti

The direct transition-matrix approach to determination of the electric polarizabilities of quantum bound systems developed in my recent work is applied to study the electric multipole polarizabilities of a two-particle bound complex with a…

Nuclear Theory · Physics 2015-06-11 V. F. Kharchenko

Parity and time invariance violating forces produce collective P- and T- odd moments in nuclei with static octupole deformation. Collective Schiff moment, electric octupole and dipole and also magnetic quadrupole appear due to the mixing of…

Nuclear Theory · Physics 2009-01-23 N. Auerbach , V. V. Flambaum , V. Spevak