Semi-classical and anharmonic quantum models of nuclear wobbling motion

Oi, Makito

doi:10.1016/j.physletb.2005.12.061

Cited by 15 publications

(13 citation statements)

References 13 publications

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“…For the wobblers caused by the quantum fluctuation of the total angular momentum orientation, the azimuth angle ϕ can also be taken as collective coordinate to the wobbling motions and the wobbling excitation is restricted to one dimensional motion along ϕ direction. It is necessary to mention that in a semi-classical model for wobbling motion, the azimuth angle ϕ has been interpreted as the wobbling angle of the total angular momentum vector [33].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Collective Hamiltonian for wobbling modes

et al. 2014

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The simple, longitudinal, and transverse wobblers are systematically studied within the framework of collective Hamiltonian, where the collective potential and mass parameter included are obtained based on the tilted axis cranking approach. Solving the collective Hamiltonian by diagonalization, the energies and the wave functions of the wobbling states are obtained. The obtained results are compared with those by harmonic approximation formula and particle rotor model. The wobbling energies calculated by the collective Hamiltonian are closer to the exact solutions by particle rotor model than harmonic approximation formula. It is confirmed that the wobbling frequency increases with the rotational frequency in simple and longitudinal wobbling motions while decreases in transverse wobbling motion. These variation trends are related to the stiffness of the collective potential in the collective Hamiltonian.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Collective Hamiltonian for wobbling modes

et al. 2014

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“…[36]. Since then a large volume of experimental as well as of theoretical results has been accumulated [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. Experimentally, the wobbling states excited on the triaxial strongly deformed (TSD) bands are known not only in 163,165,167 Lu but also in 161 Lu and 167 Ta [55,56].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical unified description of wobbling motion in even-even and even-odd nuclei

Râduţâ

Poenaru²,

Ixaru

2017

Phys. Rev. C

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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 the excited bands in the even-even case. Important results for the structure of the wave function and its behavior inside the two wells of the potential energy function corresponding to the Bargmann representation are pointed out. Applications to 158 Er and 163 Lu reveal a very good agreement with available data. Indeed, the yrast energy levels in the even-even case and the first four triaxial super-deformed bands, TSD1,TSD2,TSD3 and TSD4, are realistically described. Also, the results agree with the data for the E2 and M1 intra-as well as inter-band transitions. Perspectives for the formalism development and an extensive application to several nuclei from various regions of the nuclides chart are presented. PACS numbers:

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“…Here we adopt a different procedure to obtain the harmonic motion of the even-odd system. Several situations are considered: A1) Indeed, changing the Cartesian to the polar coordinates: 15) which is convenient in the case when the maximal MoI corresponds to the 2-axis, the energy function H can be expressed only in terms of the canonical conjugate coordinates (x 2 , ϕ 2 ):…”

Section: Classical Descriptionmentioning

confidence: 99%

A new boson approach for the wobbling motion in even–odd nuclei

Râduţâ

Raduta

Poenaru

2020

J. Phys. G: Nucl. Part. Phys.

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A triaxial core rotating around the middle axis, i.e. 2-axis, is cranked around the 1-axis, due to the coupling of an odd proton from a high j orbital. Using the Bargmann representation of a new and complex boson expansion of the angular momentum components, the eigenvalue equation of the model Hamiltonian acquires a Schrödinger form with a fully separated kinetic energy. From a critical angular momentum, the potential energy term exhibits three minima, two of them being degenerate. Spectra of the deepest wells reflects a chiral-like structure. Energies corresponding to the deepest and local minima respectively, are analytically expressed within a harmonic approximation. Based on a classical analysis, a phase diagram is constructed. It is also shown that the transverse wobbling mode is unstable. The wobbling frequencies corresponding to the deepest minimum are used to quantitatively describe the wobbling properties in 135 Pr. Both energies and e.m. transition probabilities are described.

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Semi-classical and anharmonic quantum models of nuclear wobbling motion

Cited by 15 publications

References 13 publications

Collective Hamiltonian for wobbling modes

Collective Hamiltonian for wobbling modes

Semiclassical unified description of wobbling motion in even-even and even-odd nuclei

A new boson approach for the wobbling motion in even–odd nuclei

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