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Related papers: Quadrupole and Hexadecapole Correlations in Rotati…

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The Projected Shell Model is a shell model theory built up over a deformed BCS mean field. Ground state and excited bands in even-even nuclei are obtained through diagonalization of a pairing plus quadrupole Hamiltonian in an angular…

Nuclear Theory · Physics 2009-10-31 V. Velazquez , J. G. Hirsch , Y. Sun

The effect of an octupole term in a quadrupole deformed single particle potential is studied from the classical and quantum mechanical view point. Whereas the problem is nonintegrable, the quantum mechanical spectrum nevertheless shows some…

Nuclear Theory · Physics 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

Manifestations of pronounced shell effects are discovered when adding nonaxial octupole deformations to a harmonic oscillator model. The degeneracies of the quantum spectra are in a good agreement with the corresponding main periodic orbits…

Nuclear Theory · Physics 2009-10-31 W. D. Heiss , R. G. Nazmitdinov , R. A. Lynch

We studied the effect of nuclear-quadrupole interactions on the field-free impulsive alignment of different asymmetric-top molecules. Our analysis is focused on the influence of the hyperfine- and rotational-energy-level structures. These…

Atomic Physics · Physics 2024-08-05 Linda V. Thesing , Andrey Yachmenev , Rosario González-Férez , Jochen Küpper

RPA calculations, based on the cranked shell model, are performed for superdeformed \dy\ in which five excited bands have been found recently. We show that characteristic features of the observed dynamical moments of inertia are well…

Nuclear Theory · Physics 2009-10-28 T. Nakatsukasa , K. Matsuyanagi , S. Mizutori , W. Nazarewicz

Similar to interactions between dipoles, or van der Waals interactions, quadrupole-quadrupole interactions are interactions between quadrupoles. In this article, we study the quadrupole interactions between highly excited atoms or Rydberg…

Atomic Physics · Physics 2021-09-01 Jianing Han

In this work, we examine critically the relation between orbital magnetic dipole (scissors mode) strength and quadrupole deformation properties. Assuming a simple K=0 ground state band in an even-even nucleus, the quantities Q(2^+_1) (i.e.,…

Nuclear Theory · Physics 2009-11-11 S. J. Q. Robinson , L. Zamick , A. Escuderos , R. W. Fearick , P. von Neumann-Cosel , A. Richter

The three main contributions to the nuclear Hamiltonian - monopole, quadrupole and pairing - are analyzed in a shell model context. The first has to be treated phenomenologically, while the other two can be reliably extracted from the…

Nuclear Theory · Physics 2019-05-27 A. P. Zuker

We address some properties of the quadrupole-quadrupole ($Q \cdot Q$) interaction in nuclear studies. We first consider how to restore $SU(3)$ symmetry even though we use only coordinate and not momentum terms. Using the Hamiltonian…

Nuclear Theory · Physics 2007-05-23 M. S. Fayache , Y. Y. Sharon , L. Zamick

The role of hexadecapole correlations in the lowest superdeformed band of $^{194}$Hg is studied by self consistent mean field methods. The generator coordinate method with particle number projection has been applied using Hartree-Fock wave…

Nuclear Theory · Physics 2009-10-28 P. Magierski , P. -H. Heenen , W. Nazarewicz

Microscopic RPA calculations based on the cranked shell model are performed to investigate the quadrupole and octupole correlations for excited superdeformed (SD) bands in even-even A=190 nuclei. The K=2 octupole vibrations are predicted to…

The effect of the ``$B$'' term in the interaction $-\chi Q\cdot Q(1+B\vec{\tau}(1)\cdot \vec{\tau}(2))$, which was previously considered in the $0p$ shell, is now studied in a larger space which includes $\Delta N=2$ excitations. We still…

Nuclear Theory · Physics 2009-09-25 M. S. Fayache , Y. Y. Sharon , L. Zamick

The rotational properties of the transfermium nuclei are investigated in the full deformation space by implementing a shell-model-like approach in the cranking covariant density functional theory on a three-dimensional lattice, where the…

Nuclear Theory · Physics 2024-07-17 F. F. Xu , Y. K. Wang , Y. P. Wang , P. Ring , P. W. Zhao

A variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the…

Nuclear Theory · Physics 2009-11-07 V. Velazquez , J. G. Hirsch , A. Frank , A. P. Zuker

We perform shell model calculations using a quadrupole-quadrupole interaction (Q.Q) in single a j shell space. We show that this one-parameter interaction is a good predictor of where nuclear isomerism occurs and where it does not occur.…

Nuclear Theory · Physics 2021-08-31 Praveen Srivastava , Larry Zamick

Octupole deformation and collective excitations are studied within the interacting boson model. By using the results of the self-consistent mean-field calculations with a universal energy density functional, the Hamiltonian of the…

Nuclear Theory · Physics 2023-10-26 K. Nomura

Experimentally observed heaviest $N \approx Z$ nuclei, Ru isotopes, are investigated by the shell model on a spherical basis with the extended $P+QQ$ Hamiltonian. The energy levels of all the Ru isotopes can be explained by the shell model…

Nuclear Theory · Physics 2009-11-10 M. Hasegawa , K. Kaneko , T. Mizusaki , S. Tazaki

The damping of collective rotational motion is investigated by means of particles-rotor model in which the angular momentum coupling is treated exactly and the valence nucleons are in a multi-$j$ shell mean-field. It is found that the onset…

Nuclear Theory · Physics 2009-11-10 Lu Guo , Jie Meng , Enguang Zhao , Fumihiko Sakata

It has been debated whether the experimentally-identified superdeformed rotational band in $^{40}$Ar [E. Ideguchi, et al., Phys. Lett. B 686 (2010) 18] has an axially or triaxially deformed shape. Projected shell model calculations with…

Nuclear Theory · Physics 2015-08-18 Ying-Chun Yang , Yan-Xin Liu , Yang Sun , Mike Guidry