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Related papers: Longitudinal Wobbling in $^{133}$La

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The $g$-factor and static quadrupole moment for the wobbling mode in the nuclide $^{133}$La are investigated as functions of the spin $I$by employing the particle rotor model. The model can reproduce the available experimental data of…

Nuclear Theory · Physics 2020-08-26 Q. B. Chen , S. Frauendorf , N. Kaiser , Ulf-G. Meißner , J. Meng

A particle-triaxial rigid core Hamiltonian is semi-classically treated. The coupling term corresponds to a particle rigidly coupled to the triaxial core, along a direction that does not belong to any principal plane of the inertia…

Nuclear Theory · Physics 2022-01-26 C. M. Raduta , A. A. Raduta , R. Poenaru , Al. H. Raduta

A two interacting rotors Hamiltonian is alternatively treated semi-classically and by a Dyson boson expansion method. The linearized equations of motion lead to dispersion equation for the wobbling frequency. One defined a ground band with…

Nuclear Theory · Physics 2025-11-03 A. A. Raduta , C. M. Raduta , R. Poenaru , Al. H. Raduta

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

The three moments of inertia associated with the wobbling mode built on the triaxial superdeformed states in Lu--Hf region are investigated by means of the cranked shell model plus random-phase approximation to the configurations with…

Nuclear Theory · Physics 2009-11-07 Masayuki Matsuzaki , Yoshifumi R. Shimizu , Kenichi Matsuyanagi

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

Several new bands have been identified in 130Ba, among which there is one with band-head spin 8+. Its properties are in agreement with the Fermi-aligned \nu h11/2^2 , 7/2+[523] \otimes 9/2-[514] Nilsson configuration. This is the first…

The rotational band built on the high-K multi-quasiparticle state can be interpreted as a multi-phonon band of the precession mode, which represents the precessional rotation about the axis perpendicular to the direction of the intrinsic…

Nuclear Theory · Physics 2009-11-10 Yoshifumi R. Shimizu , Masayuki Matsuzaki , Kenichi Matsuyanagi

The wobbling spectrum of $^{163}$Lu is described through a novel approach, starting from a triaxial rotor model within a semi-classical picture, and obtaining a new set of equations for all four rotational bands that have wobbling…

Nuclear Theory · Physics 2021-07-07 R. Poenaru , A. A. Raduta

We study a possible correspondence between the softening of the wobbling mode and the "phase transition" of the one-dimensionally rotating mean field to a three-dimensionally rotating one by comparing the properties of the wobbling mode…

Nuclear Theory · Physics 2009-11-10 Masayuki Matsuzaki , Shin-Ichi Ohtsubo

The high-spin states in odd-odd $^{194}$Tl nucleus have been studied by populating them using the $^{185,187}$Re($^{13}$C, xn) reactions at 75 MeV of beam energy. $\gamma-\gamma$ coincidence measurement has been performed using the INGA…

Recent experiments have confirmed the existence of rotational bands in the A \~ 110 mass region with very extended shapes lying between super- and hyper-deformation. Using the projected shell model, we make a first attempt to describe…

Nuclear Theory · Physics 2009-11-07 Ching-Tsai Lee , Yang Sun , Jing-ye Zhang , Mike Guidry , Cheng-Li Wu

An alternative interpretation of the recently reported low-lying excited bands in $\gamma$-soft odd-mass nuclei as wobbling bands is presented in terms of the interacting boson-fermion model. The model Hamiltonian is determined based on the…

Nuclear Theory · Physics 2022-03-02 K. Nomura , C. M. Petrache

A unitary description for wobbling motion in even-even and even-odd nuclei is presented. In both cases compact formulas for wobbling frequencies are derived. The accuracy of the harmonic approximation is studied for the yrast as well as for…

Nuclear Theory · Physics 2017-11-29 A. A. Raduta , R. Poenaru , L. Gr. Ixaru

We present a uniform asymptotic expansion of the wobbling kink to any order in the amplitude of the wobbling mode. The long-range behaviour of the radiation is described by matching the asymptotic expansions in the far field and near the…

Pattern Formation and Solitons · Physics 2015-05-13 I. V. Barashenkov , O. F. Oxtoby

Evidence of strong coupling of quasiparticle excitations with gamma-vibration is shown to occur in transitional nuclei. High-spin band structures in [166,168,170,172]Er are studied by employing the recently developed multi-quasiparticle…

Nuclear Theory · Physics 2015-06-04 J. A. Sheikh , G. H. Bhat , Yan-Xin Liu , Fang-Qi Chen , Yang Sun

The $\gamma$ vibration is the most typical low-lying collective motion prevailing the nuclear chart. But only few one-phonon rotational bands in odd-$A$ nuclei have been known. Furthermore, two-phonon states, even the band head, have been…

Nuclear Theory · Physics 2015-01-28 Masayuki Matsuzaki

The dynamics of a wobbling kink in a two-component coupled $\phi^4$ scalar field theory (with an excited orthogonal shape mode) is addressed. For this purpose, the vibration spectrum of the second order small kink fluctuation is studied in…

Pattern Formation and Solitons · Physics 2025-09-17 A. Alonso-Izquierdo , D. Miguélez-Caballero , L. M. Nieto

The nuclear wobbling motion in the Lu region is studied by the microscopic cranked mean-field plus RPA method. The Woods-Saxon potential is used as a mean-field with a new parameterization which gives reliable description of rapidly…

Nuclear Theory · Physics 2009-11-11 Takuya Shoji , Yoshifumi R. Shimizu

We have studied the precession mode, the rotational excitation built on the high-$K$ isomeric state, in comparison with the recently identified wobbling mode. The random-phase-approximation (RPA) formalism, which has been developed for the…

Nuclear Theory · Physics 2015-06-26 Yoshifumi R. Shimizu , Masayuki Matsuzaki , Kenichi Matsuyanagi