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Related papers: Tilted-axis wobbling in odd-mass nuclei

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A two-dimensional collective Hamiltonian (2DCH) on both azimuth and polar motions in triaxial nuclei is proposed to investigate the chiral and wobbling modes. In the 2DCH, the collective potential and the mass parameters are determined from…

Nuclear Theory · Physics 2016-10-05 Q. B. Chen , S. Q. Zhang , P. W. Zhao , R. V. Jolos , J. Meng

A systematic investigation of the wobbling band structures observed in odd-mass nuclei of $^{161,163,165,167}$Lu, $^{167}$Ta $^{131}$Cs, $^{135}$Pr, $^{151}$Eu, $^{183}$Au, $^{133}$Ba, $^{105}$Pd, $^{133}$La, $^{187}$Au and $^{127}$Xe is…

Nuclear Theory · Physics 2024-05-15 J. A. Sheikh , S. Jehangir , G. H. Bhat

The intraband electromagnetic transitions in the framework of collective Hamiltonian for chiral and wobbling modes are calculated. By going beyond the mean field approximation on the orientations of rotational axis, the collective…

Nuclear Theory · Physics 2021-06-08 X. H. Wu , Q. B. Chen , P. W. Zhao , S. Q. Zhang , J. Meng

The three dimensional harmonic oscillator model including a cranking term is used for an energy variational calculation. Energy minima are found under variation of the three oscillator frequencies determining the shape of the system for…

Nuclear Theory · Physics 2009-11-07 W. D. Heiss , R. G. Nazmitdinov

We found that in 156Dy and 162Yb the lowest odd spin gamma-vibrational states transform to the wobbling excitations after the backbending, associated with the transition from axially-symmetric to nonaxial shapes. The analysis of quadrupole…

Nuclear Theory · Physics 2010-10-27 J. Kvasil , R. G. Nazmitdinov

Excited states of $^{133}$La have been investigated to search for the wobbling excitation mode in the low-spin regime. Wobbling bands with $n_\omega$ = 0 and 1 are identified along with the interconnecting $\Delta I$ = 1, $E2$ transitions,…

A variational solution to the rovibrational problem in curvilinear vibrational coordinates has been implemented and used to investigate the nuclear motions in several linear triatomic molecules, like HCN, OCS, and HCP. The dependence of the…

Chemical Physics · Physics 2011-11-15 Leonid Shirkov , Tatiana Korona , Robert Moszynski

A triaxial particle-rotor Hamiltonian for three mutually perpendicular angular momentum vectors corresponding to two high-$j$ quasiparticles and the rotation of a triaxial collective core, is treated within a time-dependent variational…

Nuclear Theory · Physics 2018-08-01 R. Budaca

We discuss some characteristic features of the wobbling motion excited on the triaxial superdeformed Lu nucleus. We show how these features are connected to the moments of inertia microscopically calculated by means of the quasiparticle RPA…

Nuclear Theory · Physics 2008-11-26 Masayuki Matsuzaki , Yoshifumi R. Shimizu , Kenichi Matsuyanagi

We discuss in depth the application of the classical concepts for interpreting the quantal results from the triaxial rotor core without and with odd-particle. The corresponding limitations caused by the discreteness and finiteness of the…

Nuclear Theory · Physics 2020-12-08 Q. B. Chen , S. Frauendorf

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

New rotational bands built on the $\nu$$(h_{11/2})$ configuration have been identified in $^{105}$Pd. Two bands built on this configuration show the characteristics of transverse wobbling: the $\Delta$$I$=1 transitions between them have a…

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

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

We report the first observation of two wobbling bands in $^{183}$Au, both of which were interpreted as the transverse wobbling (TW) band but with different behavior of their wobbling energies as a function of spin. It increases (decreases)…

Two new bands built on the two-quasiparticle $\pi(h_{11/2})^2$ configuration of the even-even nucleus $^{130}$Ba are investigated using constrained triaxial covariant density functional theory combined with quantum particle rotor model…

Nuclear Theory · Physics 2019-12-06 Q. B. Chen , S. Frauendorf , C. M. Petrache

A semi-classical model for wobbling motion is presented as an extension to the Bohr-Mottelson model of wobbling motion. Using the resultant wobbling potential, a quantum mechanical equation is derived for anharmonic wobbling motion. We then…

Nuclear Theory · Physics 2009-11-11 Makito Oi

The selfconsistent cranking approach is extended to the case of rotation about an axis which is tilted with respect to the principal axes of the deformed potential (Tilted Axis Cranking). Expressions for the energies and the intra bands…

Nuclear Theory · Physics 2009-11-06 S. Frauendorf

Precession is a unique motion in which the orientation of the rotational axis of a rotating body is not fixed but moving, and it generally exists in the Universe from giant stars through tiny atomic nuclei. In principle, the precession of…

A time dependent variational principle is used to dequantize a second order quadrupole boson Hamiltonian. The classical equations for the generalized coordinate and the constraint for angular momentum are quantized and then analytically…

Nuclear Theory · Physics 2015-03-14 A. A. Raduta , R. Budaca , Amand Faessler