New approach for the wobbling motion in the even-odd isotopes 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Lu</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>161</mml:mn><mml:mo>,</mml:mo><mml:mn>163</mml:mn><mml:mo>,</mml:mo><mml:mn>165</mml:mn><mml:mo>,</mml:mo><mml:mn>167</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Râduţâ, A. A.; Poenaru, R.; Raduta, C. M.

doi:10.1103/physrevc.101.014302

Cited by 19 publications

(24 citation statements)

References 37 publications

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“…On the theoretical side, the wobbling excitation got extensive descriptions with the particle rotor model (PRM) [16,[21][22][23][24][25][26] and its approximation solutions [27][28][29][30][31][32][33][34][35][36]. In addition, the random phase approximation [37][38][39][40][41][42][43][44][45], the angular momentum projection method [11,14,46], and the collective Hamiltonian method [47][48][49] are used to discuss this issue.…”

Section: Introductionmentioning

confidence: 99%

Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei

Zhang,

Qi,

Wang

et al. 2022

Preprint

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The reported transverse wobbling band in odd-mass 105 Pd has been reinvestigated by the triaxial particle rotor model. Employing several different parameter sets of moment of inertia (MOI), all of the calculations could be in good agreement with the experimental data, which show distinct modes of rotational excitation, respectively. These modes are sensitive to the ratio between the MOI at intermediate and short axis. With the increase of this ratio, the axis which the total angular momentum wobbles about is changed from the short axis to the intermediate axis. The obtained oscillation modes from calculations are found to be the quantum tunneling between two orientations of angular momentum, which is different from the expected precession. The mechanism of rotational bands in 105 Pd might be a competition between different modes, which show the complexity of the transverse wobbling mode in real odd-mass nuclei.

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Section: Introductionmentioning

confidence: 99%

Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei

Zhang,

Qi,

Wang

et al. 2022

Preprint

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“…Therein two distinct properties are considered as signatures of triaxial nuclei, namely the wobbling motion and chiral doublets [9][10][11][12][13][14]. While these features were extensively studied over the recent years [15][16][17][18][19][20][21][22][23][24][25][26],only a separate treatment was considered. A possible justification of this is that up to date the two signatures were experimentally identified in different nuclei.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous description of wobbling and chiral properties in even-odd triaxial nuclei

Raduta,

Poenaru

et al. 2022

Preprint

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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 ellipsoid.The equations of motion for the angular momentum components provide a sixth-order algebraic equation for one component and subsequently equations for the other two. Linearizing the equations of motion, a dispersion equation for the wobbling frequency is obtained. The equations of motion are also considered in the reduced space of generalized phase space coordinates. Choosing successively the three axes as quantization axis will lead to analytical solutions for the wobbling frequency, respectively. The same analysis is performed for the chirally transformed Hamiltonian. With an illustrative example one identified wobbling states whose frequencies are mirror image to one another. Changing the total angular momentum I, a pair of twin bands emerged. Note that the present formalism conciliates between the two signatures of triaxial nuclei, i.e., they could coexist for a single nucleus.

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“…In a previous work [18,19], a successful description of the wobbling phenomenon in 163 Lu was achieved. Therein, the calculations were based on a particle-triaxial rotor system, that was semi-classically treated.…”

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confidence: 97%

“…The phonon numbers corresponding to the four bands are listed in Table I, where values of the parity and signatures are also shown. In a previous publication [19] one showed that the signature is a good quantum number. One can prove that parity is also a good quantum number in our formalism.…”

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confidence: 99%

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Parity Partner Bands in $^{163}$Lu: A novel approach for describing the negative parity states from a triaxial super-deformed band

Poenaru,

Raduta

2021

Preprint

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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 character. Redefining the band structure in the present model is done by adopting the concepts of Signature Partner Bands and Parity Partner Bands. Indeed, describing a wobbling spectrum in an even-odd nucleus through signature and parity quantum numbers is an inedited interpretation of the triaxial super-deformed bands.

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New approach for the wobbling motion in the even-odd isotopes Lu161,163,165,167

Cited by 19 publications

References 37 publications

Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei

Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei

Simultaneous description of wobbling and chiral properties in even-odd triaxial nuclei

Parity Partner Bands in $^{163}$Lu: A novel approach for describing the negative parity states from a triaxial super-deformed band

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