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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

The collective structure of atomic nuclei intermediate between spherical and quadrupole deformed structure presents challenges to theoretical understanding. However, models have recently been proposed in terms of potentials which are soft…

Nuclear Experiment · Physics 2020-01-07 M. A. Caprio

We formulate criteria for identification of the nuclear tetrahedral and octahedral symmetries and illustrate for the first time their possible realization in a Rare Earth nucleus 152Sm. We use realistic nuclear mean-field theory…

Nuclear Theory · Physics 2018-03-14 J. Dudek , D. Curien , I. Dedes , K. Mazurek , S. Tagami , Y. R. Shimizu , T. Bhattacharjee

An angular momentum dependence of the parity splitting in the alternating parity bands of nuclei with strong octupole correlations is considered basing on the model of the octupole motion in a one-dimensional potential well conserving axial…

Nuclear Theory · Physics 2009-10-31 R. V. Jolos , P. von Brentano

The nuclear quadrupole collective states at low excitation energies are described in a novel, fully quantum mechanical and systematic manner as compared to traditional pictures initiated by Aage Bohr. The ellipsoidal shapes are shown to be…

Nuclear Theory · Physics 2025-10-07 Takaharu Otsuka

The quantum mechanical motion of the atomic nuclei is considered over a single- or a multi-dimensional subspace of electronic states which is separated by a gap from the rest of the electronic spectrum over the relevant range of nuclear…

Chemical Physics · Physics 2019-07-24 Edit Matyus , Stefan Teufel

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

The self-consistent harmonic oscillator model including the three-dimensional cranking term is extended to describe collective excitations in the random phase approximation. It is found that quadrupole collective excitations associated with…

Nuclear Theory · Physics 2009-11-06 W. D. Heiss , R. G. Nazmitdinov

In addition to shape oscillations, low-energy excitation spectra of deformed nuclei are also influenced by pairing vibrations. The simultaneous description of these collective modes and their coupling has been a long-standing problem in…

Nuclear Theory · Physics 2021-05-26 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core…

Nuclear Theory · Physics 2016-03-08 A. A. Raduta , Al. H. Raduta , C. M. Petrache

Band structure properties of $^{182}$Os are investigated through a particle number and angular momentum constrained generator coordinate(GCM) calculation based on self-consistent three-dimensional cranking solutions. From the analysis of…

Nuclear Theory · Physics 2009-10-31 Takatoshi Horibata , Makito Oi , Naoki Onishi , Ahmad Ansari

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results…

Nuclear Theory · Physics 2016-05-23 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

The residual part of the realistic forces ---obtained after extracting the monopole terms responsible for bulk properties--- is strongly dominated by pairing and quadrupole interactions, with important $\sigma\tau\cdot\sigma \tau$, octupole…

Nuclear Theory · Physics 2008-11-26 Marianne Dufour , Andrés Zuker

The negative parity bands in $^{220}$Th are analyzed within the dinuclear system model which was previously used for describing the alternating-parity bands in deformed actinides. The model is based on the assumption that cluster type…

Nuclear Theory · Physics 2015-05-18 T. M. Shneidman , G. G. Adamian , N. V. Antonenko , R. V. Jolos , W. Scheid

Low-lying collective excitations in even-even vibrational and transitional nuclei may be described semi-classically as quadrupole running waves on the surface of the nucleus ("tidal waves"), and the observed vibrational-rotational behavior…

The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

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

The level structure of the transitional nucleus $\mathrm{^{217}Ra}$ has been extended with the addition of around 20 new transitions. The discrepancies between the placements of several transitions reported in the earlier studies are…

The recently reported wobbling bands in $^{135}$Pr are investigated by the collective Hamiltonian, in which the collective parameters, including the collective potential and the mass parameter, are respectively determined from the tilted…

Nuclear Theory · Physics 2016-11-15 Q. B. Chen , S. Q. Zhang , J. Meng

Experimental data on $^{96}$Zr indicate coexisting spherical and deformed structures with small mixing amplitudes. Several collective low-lying states and E2 and M1 transitions are observed for this nucleus. The quadrupole-collective Bohr…

Nuclear Theory · Physics 2020-09-16 E. V. Mardyban , E. A. Kolganova , T. M. Shneidman , R. V. Jolos , N. Pietralla

A scheme of solving the proton-neutron interacting boson model (IBM-2) in terms of the SU(3) basis is introduced, by which the IBM-2 coupled with an octupole boson is applied to describe the low-energy structure of the critical point…

Nuclear Theory · Physics 2023-02-22 Bao-Yue Hu , Yu Zhang , Gui-Xiu Na , Sheng-Nan Wang , Wei Teng
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